{"id":7,"date":"2022-12-08T19:43:26","date_gmt":"2022-12-08T19:43:26","guid":{"rendered":"http:\/\/morrisovaveta.com\/?page_id=7"},"modified":"2022-12-15T17:03:21","modified_gmt":"2022-12-15T17:03:21","slug":"domovska-stranka","status":"publish","type":"page","link":"https:\/\/morrisovaveta.com\/","title":{"rendered":"Domovsk\u00e1 str\u00e1nka"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"7\" class=\"elementor elementor-7\">\n\t\t\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9ff7d8f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9ff7d8f\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;shape_divider_top&quot;:&quot;waves&quot;,&quot;shape_divider_bottom&quot;:&quot;waves&quot;}\">\n\t\t\t\t\t<div class=\"elementor-shape elementor-shape-top\" data-negative=\"false\">\n\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 1000 100\" preserveAspectRatio=\"none\">\n\t<path class=\"elementor-shape-fill\" d=\"M421.9,6.5c22.6-2.5,51.5,0.4,75.5,5.3c23.6,4.9,70.9,23.5,100.5,35.7c75.8,32.2,133.7,44.5,192.6,49.7\n\tc23.6,2.1,48.7,3.5,103.4-2.5c54.7-6,106.2-25.6,106.2-25.6V0H0v30.3c0,0,72,32.6,158.4,30.5c39.2-0.7,92.8-6.7,134-22.4\n\tc21.2-8.1,52.2-18.2,79.7-24.2C399.3,7.9,411.6,7.5,421.9,6.5z\"\/>\n<\/svg>\t\t<\/div>\n\t\t\t\t<div class=\"elementor-shape elementor-shape-bottom\" data-negative=\"false\">\n\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 1000 100\" preserveAspectRatio=\"none\">\n\t<path class=\"elementor-shape-fill\" d=\"M421.9,6.5c22.6-2.5,51.5,0.4,75.5,5.3c23.6,4.9,70.9,23.5,100.5,35.7c75.8,32.2,133.7,44.5,192.6,49.7\n\tc23.6,2.1,48.7,3.5,103.4-2.5c54.7-6,106.2-25.6,106.2-25.6V0H0v30.3c0,0,72,32.6,158.4,30.5c39.2-0.7,92.8-6.7,134-22.4\n\tc21.2-8.1,52.2-18.2,79.7-24.2C399.3,7.9,411.6,7.5,421.9,6.5z\"\/>\n<\/svg>\t\t<\/div>\n\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1b9a3f9\" data-id=\"1b9a3f9\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e0a1464 elementor-widget elementor-widget-heading\" data-id=\"e0a1464\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.9.1 - 14-12-2022 *\/\n.elementor-heading-title{padding:0;margin:0;line-height:1}.elementor-widget-heading .elementor-heading-title[class*=elementor-size-]>a{color:inherit;font-size:inherit;line-height:inherit}.elementor-widget-heading .elementor-heading-title.elementor-size-small{font-size:15px}.elementor-widget-heading .elementor-heading-title.elementor-size-medium{font-size:19px}.elementor-widget-heading .elementor-heading-title.elementor-size-large{font-size:29px}.elementor-widget-heading .elementor-heading-title.elementor-size-xl{font-size:39px}.elementor-widget-heading .elementor-heading-title.elementor-size-xxl{font-size:59px}<\/style><h2 class=\"elementor-heading-title elementor-size-default\">MORRISOVA V\u011aTA<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-49fb833 elementor-widget elementor-widget-heading\" data-id=\"49fb833\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\u00daVOD<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-bfc1020 mojesekce1 elementor-section-boxed elementor-section-height-default elementor-section-height-default elementor-invisible\" data-id=\"bfc1020\" data-element_type=\"section\" data-settings=\"{&quot;animation&quot;:&quot;slideInLeft&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-d8130c3\" data-id=\"d8130c3\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-515e437 elementor-widget elementor-widget-text-editor\" data-id=\"515e437\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.9.1 - 14-12-2022 *\/\n.elementor-widget-text-editor.elementor-drop-cap-view-stacked .elementor-drop-cap{background-color:#818a91;color:#fff}.elementor-widget-text-editor.elementor-drop-cap-view-framed .elementor-drop-cap{color:#818a91;border:3px solid;background-color:transparent}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap{margin-top:8px}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap-letter{width:1em;height:1em}.elementor-widget-text-editor .elementor-drop-cap{float:left;text-align:center;line-height:1;font-size:50px}.elementor-widget-text-editor .elementor-drop-cap-letter{display:inline-block}<\/style>\t\t\t\t<p>Tato str\u00e1nka shrnuje ve\u0161ker\u00e9 poznatky nashrom\u00e1\u017ed\u011bn\u00e9 v r\u00e1mci nejnov\u011bj\u0161\u00edch v\u00fdzkum\u016f Velk\u00e9 Morrisovy v\u011bty (zkr\u00e1cen\u011b Morrisovy v\u011bty). Tato matematick\u00e1 v\u011bta si v posledn\u00ed dob\u011b z\u00edsk\u00e1v\u00e1 st\u00e1le v\u011bt\u0161\u00ed oblibu, le\u010d publikac\u00ed (a\u0165 u\u017e v kni\u017en\u00ed nebo elektronick\u00e9 podob\u011b) je zat\u00edm pram\u00e1lo. D\u016fvod\u016f je pravd\u011bpodobn\u011b hned n\u011bkolik. T\u00edm hlavn\u00edm je bezpochyby jej\u00ed mlad\u00e1 historie, jeliko\u017e v\u011bta byla po\u0159\u00e1dn\u011b publikovan\u00e1 teprve ned\u00e1vno (v\u00edce k historii se do\u010dtete v n\u00e1sleduj\u00edc\u00ed kapitole). Druh\u00fdm d\u016fvodem je pravd\u011bpodobn\u011b kontroverznost, je\u017e tato v\u011bta zp\u016fsobila na poli matematiky.\u00a0<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-012999a\" data-id=\"012999a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-fa7f382 elementor-widget elementor-widget-image\" data-id=\"fa7f382\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.9.1 - 14-12-2022 *\/\n.elementor-widget-image{text-align:center}.elementor-widget-image a{display:inline-block}.elementor-widget-image a img[src$=\".svg\"]{width:48px}.elementor-widget-image img{vertical-align:middle;display:inline-block}<\/style>\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"1024\" height=\"438\" src=\"https:\/\/morrisovaveta.com\/wp-content\/uploads\/2022\/12\/headtail-1-1024x438.webp\" class=\"attachment-large size-large wp-image-54\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/morrisovaveta.com\/wp-content\/uploads\/2022\/12\/headtail-1-1024x438.webp 1024w, https:\/\/morrisovaveta.com\/wp-content\/uploads\/2022\/12\/headtail-1-300x128.webp 300w, https:\/\/morrisovaveta.com\/wp-content\/uploads\/2022\/12\/headtail-1-768x328.webp 768w, https:\/\/morrisovaveta.com\/wp-content\/uploads\/2022\/12\/headtail-1-1536x657.webp 1536w, https:\/\/morrisovaveta.com\/wp-content\/uploads\/2022\/12\/headtail-1-2048x876.webp 2048w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-866df19 elementor-widget elementor-widget-heading\" data-id=\"866df19\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">ZN\u011aN\u00cd V\u011aTY<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d8cb8a9 mojesekce1 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"d8cb8a9\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;slideInLeft&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>M\u011bjme n\u00e1hodn\u00fd jev <em>A.&nbsp;<\/em>Potom plat\u00ed:<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<em>&nbsp; &nbsp; &nbsp; &nbsp; P(A) = <\/em>0.5<br>kde&nbsp;<em>P(A)&nbsp;<\/em>je pravd\u011bpodobnost jevu&nbsp;<em>A.&nbsp;<\/em>Tato pravd\u011bpodobnost je nem\u011bnn\u00e1 a plat\u00ed za jak\u00fdchkoliv p\u0159edpoklad\u016f, kter\u00e9 si stanov\u00edme.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7c0e76e elementor-widget elementor-widget-heading\" data-id=\"7c0e76e\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">D\u016eKAZ V\u011aTY<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-1f80909 mojesekce1 elementor-section-boxed elementor-section-height-default elementor-section-height-default elementor-invisible\" data-id=\"1f80909\" data-element_type=\"section\" data-settings=\"{&quot;animation&quot;:&quot;slideInLeft&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-506d342\" data-id=\"506d342\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-36cb70b elementor-widget elementor-widget-text-editor\" data-id=\"36cb70b\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Pro d\u016fkaz t\u00e9to v\u011bty vyu\u017eijeme v\u011btu o pravd\u011bpodobnosti hodu minc\u00ed (uva\u017eujeme pouze jej\u00ed zjednodu\u0161enou podobu, kdy nebereme v \u00favahu mo\u017enost, \u017ee n\u00e1m padne hrana). P\u0159ipome\u0148me si jej\u00ed zn\u011bn\u00ed:<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-43eb674 elementor-absolute elementor-view-default elementor-widget elementor-widget-icon\" data-id=\"43eb674\" data-element_type=\"widget\" data-settings=\"{&quot;_position&quot;:&quot;absolute&quot;}\" data-widget_type=\"icon.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-icon-wrapper\">\n\t\t\t<div class=\"elementor-icon\">\n\t\t\t<i aria-hidden=\"true\" class=\"fas fa-quote-left\"><\/i>\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b3ae353 elementor-widget elementor-widget-text-editor\" data-id=\"b3ae353\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><span style=\"color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 M\u011bjme n\u00e1hodn\u00fd jev\u00a0<\/span><em style=\"font-variant-ligatures: normal; font-variant-caps: normal; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-weight: 400; color: #2b2b2b;\">A<\/em><span style=\"color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\">\u00a0a n\u00e1hodn\u00fd jev\u00a0<\/span><em style=\"font-variant-ligatures: normal; font-variant-caps: normal; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-weight: 400; color: #2b2b2b;\">B<\/em><span style=\"color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\">. Nech\u0165 jsou jevy\u00a0<\/span><em style=\"font-variant-ligatures: normal; font-variant-caps: normal; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-weight: 400; color: #2b2b2b;\">A<\/em><span style=\"color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\">\u00a0a\u00a0<\/span><em style=\"font-variant-ligatures: normal; font-variant-caps: normal; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-weight: 400; color: #2b2b2b;\">B<\/em><span style=\"color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\">\u00a0vz\u00e1jemn\u011b neslu\u010diteln\u00e9 a nech\u0165 v ka\u017ed\u00e9m pokusu nast\u00e1v\u00e1 pouze jeden\u00a0<br \/><\/span><span style=\"color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 z nich,<\/span><span style=\"color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\">\u00a0tak\u017ee sou\u010det pravd\u011bpodobnost\u00ed t\u011bchto jev\u016f je roven jedn\u00e9:<\/span><\/p><p><em style=\"font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; font-family: 'Times New Roman', sans-serif; font-size: 18px; color: #2b2b2b;\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 P<\/em><span style=\"font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px;\">(<\/span><em style=\"font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; font-family: 'Times New Roman', sans-serif; font-size: 18px; color: #2b2b2b;\">A<\/em><span style=\"font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px;\">) +\u00a0<\/span><em style=\"font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; font-family: 'Times New Roman', sans-serif; font-size: 18px; color: #2b2b2b;\">P<\/em><span style=\"font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px;\">(<\/span><em style=\"font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; font-family: 'Times New Roman', sans-serif; font-size: 18px; color: #2b2b2b;\">B<\/em><span style=\"font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px;\">) = 1<\/span><\/p><p><em style=\"font-variant-ligatures: normal; font-variant-caps: normal; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-weight: 400; color: #2b2b2b;\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 P<\/em><span style=\"color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\">(<\/span><em style=\"font-variant-ligatures: normal; font-variant-caps: normal; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-weight: 400; color: #2b2b2b;\">A<\/em><span style=\"color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\">) je pravd\u011bpodobnost jevu\u00a0<\/span><em style=\"font-variant-ligatures: normal; font-variant-caps: normal; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-weight: 400; color: #2b2b2b;\">A<\/em><span style=\"color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\">\u00a0a\u00a0<\/span><em style=\"font-variant-ligatures: normal; font-variant-caps: normal; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-weight: 400; color: #2b2b2b;\">P<\/em><span style=\"color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\">(<\/span><em style=\"font-variant-ligatures: normal; font-variant-caps: normal; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-weight: 400; color: #2b2b2b;\">B<\/em><span style=\"color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\">) je pravd\u011bpodobnost jevu\u00a0<\/span><em style=\"font-variant-ligatures: normal; font-variant-caps: normal; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-weight: 400; color: #2b2b2b;\">B<\/em><span style=\"color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\">. V p\u0159\u00edpad\u011b hodu minc\u00ed oba tyto jevy <\/span><span style=\"color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\">nast\u00e1vaj\u00ed se stejnou <br \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 pravd\u011bpodobnost\u00ed,\u00a0<\/span><span style=\"font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px;\">z \u010deho\u017e vypl\u00fdv\u00e1\u00a0<\/span><em style=\"font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; font-family: 'Times New Roman', sans-serif; font-size: 18px; color: #2b2b2b;\">P<\/em><span style=\"font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px;\">(<\/span><em style=\"font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; font-family: 'Times New Roman', sans-serif; font-size: 18px; color: #2b2b2b;\">A<\/em><span style=\"font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px;\">) =\u00a0<\/span><em style=\"font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; font-family: 'Times New Roman', sans-serif; font-size: 18px; color: #2b2b2b;\">P<\/em><span style=\"font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px;\">(<\/span><em style=\"font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; font-family: 'Times New Roman', sans-serif; font-size: 18px; color: #2b2b2b;\">B<\/em><span style=\"font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px;\">) = 0.5.<\/span><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-97c6753 elementor-absolute elementor-view-default elementor-widget elementor-widget-icon\" data-id=\"97c6753\" data-element_type=\"widget\" data-settings=\"{&quot;_position&quot;:&quot;absolute&quot;}\" data-widget_type=\"icon.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-icon-wrapper\">\n\t\t\t<div class=\"elementor-icon\">\n\t\t\t<i aria-hidden=\"true\" class=\"fas fa-quote-right\"><\/i>\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-94f5e43 elementor-widget elementor-widget-text-editor\" data-id=\"94f5e43\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><span style=\"color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\">Uv\u011bdomme si tak\u00e9, \u017ee v\u011bta o pravd\u011bpodobnosti hodu minc\u00ed pracuje s p\u0159edpokladem, \u017ee v\u00fdsledkem hodu\u00a0<\/span><span style=\"color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\">minc\u00ed jsou pouze dva mo\u017en\u00e9 jevy (v lajck\u00e9 interpretaci v\u011bty o hodu minc\u00ed hovo\u0159\u00edme o jevech <em>pana<\/em> a <em>orel<\/em>).\u00a0<\/span><span style=\"color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\">Tohoto poznatku vyu\u017eijeme v n\u00e1sleduj\u00edc\u00ed \u010d\u00e1sti d\u016fkazu.\u00a0<\/span><span style=\"color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\">Nyn\u00ed zp\u011bt k Morrisov\u011b v\u011bt\u011b.<\/span><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a8ead3e elementor-widget elementor-widget-text-editor\" data-id=\"a8ead3e\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><span style=\"color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\">Definujme <em>X<\/em> jako mno\u017einu v\u0161ech pokus\u016f, kter\u00e9 kdy nastaly, aktu\u00e1ln\u011b nast\u00e1vaj\u00ed nebo mohou nastat ve v\u0161ech\u00a0<\/span><span style=\"color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\">re\u00e1ln\u00fdch i imagin\u00e1rn\u00edch vesm\u00edrech. Nech\u0165 <em>D<\/em> je mno\u017eina v\u0161ech jev\u016f, kter\u00e9 jsou v\u00fdsledkem experimentu <em>x<\/em> pro\u00a0<\/span><span style=\"color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\">\u2200<em>x<\/em> \u2208 <em>X<\/em>. Vezm\u011bme libovoln\u00fd jev <em>d<\/em> \u2208 <em>D<\/em>. Pak tento jev bu\u010f je, nebo nen\u00ed v\u00fdsledkem experimentu x. To ale\u00a0<\/span><span style=\"color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\">dle v\u011bty o hodu minc\u00ed znamen\u00e1, \u017ee <em>P<\/em>(<em>d<\/em>) = 0.5, kde <em>P<\/em>(<em>d<\/em>) je pravd\u011bpodobnost s jakou nastane jev <em>d<\/em>. V r\u00e1mci\u00a0<\/span><span style=\"color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\">Morrisovy v\u011bty jsou tyto dva mo\u017en\u00e9 stavy jevu <em>d<\/em> popisov\u00e1ny jako <em>stane se to<\/em> pop\u0159. <em>nestane se to<\/em>.\u00a0<\/span><span style=\"color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\">Dok\u00e1zali jsme tedy, \u017ee pravd\u011bpodobnost, \u017ee nastane libovoln\u00fd jev, jen\u017e je v\u00fdsledkem libovoln\u00e9ho experimentu,\u00a0<\/span><span style=\"color: #2b2b2b; font-family: 'Times New Roman', sans-serif; font-size: 18px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\">je v\u017edy 0.5 .<\/span><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-9049adb elementor-widget elementor-widget-heading\" data-id=\"9049adb\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">GRAFICK\u00c1 PODOBA D\u016eKAZU<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4f7f4a9 mojesekce1 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"4f7f4a9\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;slideInLeft&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>P\u0159edchoz\u00ed d\u016fkaz je pom\u011brn\u011b technick\u00fd (t\u00edm p\u00e1dem i nezaj\u00edmav\u00fd). Existuje rovn\u011b\u017e jeho grafick\u00e1 podoba, kterou zn\u00e1zornil autor ve videu n\u00ed\u017ee. \u010cten\u00e1\u0159, jen\u017e se ztratil ve zbyte\u010dn\u00fdch technik\u00e1li\u00edch Morrisova p\u016fvodn\u00edho d\u016fkazu, tak m\u016f\u017ee d\u00e1t t\u00e9to v\u011bt\u011b je\u0161t\u011b jednu \u0161anci:<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b10be88 elementor-aspect-ratio-169 elementor-invisible elementor-widget elementor-widget-video\" data-id=\"b10be88\" data-element_type=\"widget\" data-settings=\"{&quot;video_type&quot;:&quot;hosted&quot;,&quot;_animation&quot;:&quot;fadeInLeft&quot;,&quot;controls&quot;:&quot;yes&quot;,&quot;aspect_ratio&quot;:&quot;169&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.9.1 - 14-12-2022 *\/\n.elementor-widget-video .elementor-widget-container{overflow:hidden;transform:translateZ(0)}.elementor-widget-video .elementor-open-inline .elementor-custom-embed-image-overlay{position:absolute;top:0;left:0;width:100%;height:100%;background-size:cover;background-position:50%}.elementor-widget-video .elementor-custom-embed-image-overlay{cursor:pointer;text-align:center}.elementor-widget-video .elementor-custom-embed-image-overlay:hover .elementor-custom-embed-play i{opacity:1}.elementor-widget-video .elementor-custom-embed-image-overlay img{display:block;width:100%}.elementor-widget-video .e-hosted-video .elementor-video{-o-object-fit:cover;object-fit:cover}.e-con-inner>.elementor-widget-video,.e-con>.elementor-widget-video{width:var(--container-widget-width);--flex-grow:var(--container-widget-flex-grow)}<\/style>\t\t<div class=\"e-hosted-video elementor-wrapper elementor-fit-aspect-ratio elementor-open-inline\">\n\t\t\t\t\t<video class=\"elementor-video\" src=\"http:\/\/morrisovaveta.com\/wp-content\/uploads\/2022\/12\/318353425_5666181306795507_6825619182313072546_n-1.mp4\" controls=\"\" controlsList=\"nodownload\"><\/video>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-44550f0 elementor-widget elementor-widget-heading\" data-id=\"44550f0\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">P\u0158\u00cdKLADY<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-88d62eb mojesekce1 elementor-section-boxed elementor-section-height-default elementor-section-height-default elementor-invisible\" data-id=\"88d62eb\" data-element_type=\"section\" data-settings=\"{&quot;animation&quot;:&quot;slideInLeft&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-218af69\" data-id=\"218af69\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5dd5cc6 elementor-widget elementor-widget-heading\" data-id=\"5dd5cc6\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">ZAD\u00c1N\u00cd \u010c. 1<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ad5f87b elementor-widget elementor-widget-text-editor\" data-id=\"ad5f87b\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Jak\u00e1 je pravd\u011bpodobnost, \u017ee na b\u011b\u017en\u00e9 hrac\u00ed kostce padne sud\u00e9 \u010d\u00edslo?<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9734fe2 elementor-widget elementor-widget-heading\" data-id=\"9734fe2\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\u0158E\u0160EN\u00cd POMOC\u00cd DEFINICE<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f862238 elementor-widget elementor-widget-text-editor\" data-id=\"f862238\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Jak v\u00edme, pravd\u011bpodobnost lze z definice spo\u010d\u00edtat jako pod\u00edl po\u010dtu p\u0159\u00edzniv\u00fdch jev\u016f a po\u010dtu v\u0161ech jev\u016f. Po\u010det v\u0161ech jev\u016f je 6. P\u0159\u00edzniv\u00e9 jevy, tedy jevy, kdy na kostce padne sud\u00e9 \u010d\u00edslo, jsou 3, konkr\u00e9tn\u011b se jedn\u00e1 o \u010d\u00edsla 2, 4 a 6. Nyn\u00ed m\u016f\u017eeme dosadit a z\u00edsk\u00e1v\u00e1m pravd\u011bpodobnost 3\/6 = 0.5. V\u00fdsledn\u00e1 pravd\u011bpodobnost je tedy 50 %.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5b68ce8 elementor-widget elementor-widget-heading\" data-id=\"5b68ce8\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\u0158E\u0160EN\u00cd POMOC\u00cd MORRISOVY V\u011aTY<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8ad42c0 elementor-widget elementor-widget-text-editor\" data-id=\"8ad42c0\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Z Morrisovy v\u011bty rovnou vid\u00edme, \u017ee pravd\u011bpodobnost je 50 %.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-ed60788 elementor-widget elementor-widget-spacer\" data-id=\"ed60788\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.9.1 - 14-12-2022 *\/\n.elementor-column .elementor-spacer-inner{height:var(--spacer-size)}.e-con{--container-widget-width:100%}.e-con-inner>.elementor-widget-spacer,.e-con>.elementor-widget-spacer{width:var(--container-widget-width,var(--spacer-size));--align-self:var(--container-widget-align-self,initial);--flex-shrink:0}.e-con-inner>.elementor-widget-spacer>.elementor-widget-container,.e-con-inner>.elementor-widget-spacer>.elementor-widget-container>.elementor-spacer,.e-con>.elementor-widget-spacer>.elementor-widget-container,.e-con>.elementor-widget-spacer>.elementor-widget-container>.elementor-spacer{height:100%}.e-con-inner>.elementor-widget-spacer>.elementor-widget-container>.elementor-spacer>.elementor-spacer-inner,.e-con>.elementor-widget-spacer>.elementor-widget-container>.elementor-spacer>.elementor-spacer-inner{height:var(--container-widget-height,var(--spacer-size))}<\/style>\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-b40ee97 mojesekce1 elementor-section-boxed elementor-section-height-default elementor-section-height-default elementor-invisible\" data-id=\"b40ee97\" data-element_type=\"section\" data-settings=\"{&quot;animation&quot;:&quot;slideInLeft&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-f88606e\" data-id=\"f88606e\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8637939 elementor-widget elementor-widget-heading\" data-id=\"8637939\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">ZAD\u00c1N\u00cd \u010c. 2<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1381c6d elementor-widget elementor-widget-text-editor\" data-id=\"1381c6d\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>V\u00edme n\u00e1sleduj\u00edc\u00ed informace:<\/p><ul><li><span style=\"font-size: 18px;\">Pravd\u011bpodobnost, \u017ee osoba m\u00e1 rakovinu plic, je 0,1 % (tj. 1 ze 1000 lid\u00ed)<\/span><\/li><li><span style=\"font-size: 18px;\">Pravd\u011bpodobnost, \u017ee test na rakovinu plic je negativn\u00ed u osoby s rakovinou plic, je 90 %<\/span><\/li><li><span style=\"font-size: 18px;\">Pravd\u011bpodobnost, \u017ee test na rakovinu plic je negativn\u00ed u osoby bez rakoviny plic, je 99 % <\/span><\/li><\/ul><p><span style=\"font-size: 18px;\">U dan\u00e9 osoby byl proveden test na rakovinu plic, v\u00fdsledek testu byl negativn\u00ed. jak\u00e1 je pravd\u011bpodobnost, \u017ee dan\u00e1 osoba m\u00e1 rakovinu plic?<\/span><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7b14b5d elementor-widget elementor-widget-heading\" data-id=\"7b14b5d\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\u0158E\u0160EN\u00cd POMOC\u00cd BAYESOVY V\u011aTY<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-bdbf83a elementor-widget elementor-widget-text-editor\" data-id=\"bdbf83a\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Nejd\u0159\u00edve si p\u0159ipome\u0148me Bayesovu v\u011btu:<br>P(A|B) = P(B|A) * P(A) \/ P(B)<\/p>\n<p>Nyn\u00ed aplikujme tuto v\u011btu na na\u0161e zad\u00e1n\u00ed.<br>Za v\u00fdrazy&nbsp;<span style=\"font-size: 18px;\">P(B|A)&nbsp; a&nbsp; P(A) m\u016f\u017eeme rovnou dosadit, jeliko\u017e to jsou hodnoty ze zad\u00e1n\u00ed. Zb\u00fdv\u00e1 vy\u0159e\u0161it, co dosadit za v\u00fdraz P(B).&nbsp;<\/span><span style=\"font-size: 18px;\">Za P(B) dosad\u00edme (0,9 * 0,001 + 0,99 * 0,999). V\u00fdraz P(B)<\/span><span style=\"font-size: 18px;\">&nbsp;n\u00e1m vyjad\u0159uje, <\/span><span style=\"font-size: 18px;\">jak\u00e1 je pravd\u011bpodobnost, \u017ee test na rakovinu plic je negativn\u00ed, a\u0165 u\u017e m\u00e1 osoba&nbsp;<\/span><span style=\"font-size: 18px;\">rakovinu plic nebo ne. V\u00fdraz 0,9 * 0,001 p\u0159edstavuje pravd\u011bpodobnost, \u017ee test <\/span><span style=\"font-size: 18px;\">na rakovinu plic je negativn\u00ed u osoby s rakovinou plic, a&nbsp;<\/span><span style=\"font-size: 18px;\">0,99 * 0,999 p\u0159edstavuje&nbsp;<\/span><span style=\"font-size: 18px;\">pravd\u011bpodobnost, \u017ee test na rakovinu plic je negativn\u00ed u osoby bez rakoviny&nbsp;<\/span><span style=\"font-size: 18px;\">plic. Tyto dv\u011b hodnoty se pak se\u010dtou, aby se z\u00edskala kone\u010dn\u00e1 pravd\u011bpodobnost,&nbsp;<\/span><span style=\"font-size: 18px;\">\u017ee test na rakovinu plic je negativn\u00ed.&nbsp;<br><\/span><span style=\"font-size: 18px;\">Pozn\u00e1mka autora: V\u00fdraz 0,9 *&nbsp;<\/span><span style=\"font-size: 18px;\">0,001 p\u0159edstavuje pravd\u011bpodobnost, \u017ee test na rakovinu plic je negativn\u00ed u&nbsp;<\/span><span style=\"font-size: 18px;\">osoby s rakovinou plic, proto\u017ee se v n\u011bm kombinuj\u00ed dv\u011b pravd\u011bpodobnosti:<\/span><\/p>\n<ol>\n<li><span style=\"font-size: 18px;\">Pravd\u011bpodobnost, \u017ee&nbsp;<\/span><span style=\"font-size: 18px;\">osoba m\u00e1 rakovinu plic, kter\u00e1 je 0,1 % (tj. 1 ze 1000 lid\u00ed). Tato&nbsp;<\/span><span style=\"font-size: 18px;\">pravd\u011bpodobnost se vyjad\u0159uje jako 0,001.<\/span><\/li>\n<li><span style=\"font-size: 18px;\">Pravd\u011bpodobnost, \u017ee&nbsp;<\/span><span style=\"font-size: 18px;\">test na rakovinu plic je negativn\u00ed u osoby s rakovinou plic, kter\u00e1 je 90 %. Tato&nbsp;<\/span><span style=\"font-size: 18px;\">pravd\u011bpodobnost se vyjad\u0159uje jako 0,9.<\/span><\/li>\n<\/ol>\n<p>Kdy\u017e se tyto dv\u011b pravd\u011bpodobnosti vz\u00e1jemn\u011b vyn\u00e1sob\u00ed, dostaneme hodnotu 0,9 * 0,001 = 0,0009, co\u017e p\u0159edstavuje pravd\u011bpodobnost, \u017ee test na rakovinu plic je negativn\u00ed u osoby s rakovinou plic.<\/p>\n<p>Dosazen\u00edm do Bayesovy v\u011bty tedy dost\u00e1v\u00e1me P(A|B) = 0,9 * 0,001 \/<br>(0,9 * 0,001 + 0,99 * 0,999) = 0,5 = 50 % .<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9a0288b elementor-widget elementor-widget-heading\" data-id=\"9a0288b\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\u0158E\u0160EN\u00cd POMOC\u00cd MORRISOVY V\u011aTY<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1e39aa7 elementor-widget elementor-widget-text-editor\" data-id=\"1e39aa7\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>\u0158e\u0161en\u00ed pomoc\u00ed Morrisovy v\u011bty je pon\u011bkud p\u0159\u00edmo\u010da\u0159ej\u0161\u00ed. Z Morrisovy v\u011bty toti\u017e rovnou vid\u00edme, \u017ee pravd\u011bpodobnost je 50 %.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-00f6b58 elementor-widget elementor-widget-heading\" data-id=\"00f6b58\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">HISTORIE<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6dd04d1 mojesekce1 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"6dd04d1\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;slideInLeft&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Jak ji\u017e bylo zm\u00edn\u011bno, ko\u0159eny t\u00e9to v\u011bty sahaj\u00ed pouze do prvn\u00edho desetilet\u00ed 21. stolet\u00ed. Byla formulov\u00e1na v roce 2008 madagaskarsk\u00fdm matematikem Morrisem. Jm\u00e9no tohoto matematika m\u016f\u017eeme \u010dast\u011bji nal\u00e9zt v jeho p\u016fvodn\u00ed podob\u011b jako Maurice (tzv. Mauricova v\u011bta). D\u016fvodem je historick\u00fd v\u00fdvoj na \u00fazem\u00ed Madagaskaru. Madagaskar byl dlouh\u00e1 l\u00e9ta francouzskou koloni\u00ed, co\u017e vysv\u011btluje \u010dastou francouzskou podobu tohoto jm\u00e9na. Morris s\u00e1m v\u0161ak up\u0159ednost\u0148uje anglicistn\u00ed formu sv\u00e9ho jm\u00e9na, tud\u00ed\u017e i v tomto \u010dl\u00e1nku budeme uv\u00e1d\u011bt jm\u00e9no v t\u00e9to podob\u011b. Pokusy formulovat tuto v\u011btu u\u017e byly v historii mnohokr\u00e1t, \u017e\u00e1dn\u00e9mu matematikovi se to v\u0161ak nikdy nepovedlo. Morris tak m\u011bl dostatek podklad\u016f, kter\u00e9 p\u0159i sv\u00e9 vyu\u017eil p\u0159i sv\u00e9 pr\u00e1ci, a kter\u00e9 se dochovaly jako fragmenty. Dnes ji\u017e m\u00e1me korektn\u00ed zn\u011bn\u00ed v\u010detn\u011b definice. Jist\u00e9 zdroje uv\u00e1d\u011bj\u00ed, \u017ee Morris nepracoval na v\u011bt\u011b s\u00e1m, ale za v\u00fdznamn\u00e9 podpory sv\u00e9ho <a href=\"https:\/\/www.postavy.cz\/jeliman\/\">kolegy Juliena<\/a>. Ofici\u00e1ln\u00ed n\u00e1zev by tak m\u011bl b\u00fdt Morris-Julienova v\u011bta.<\/p>\n<p>V r\u00e1mci sb\u00edr\u00e1n\u00ed poznatk\u016f k Morrisov\u011b v\u011bt\u011b jsme rovn\u011b\u017e narazili na dobovou nahr\u00e1vku samotn\u00e9ho Morrise, kter\u00fd vysv\u011btluje d\u016fkaz sv\u00e9 v\u011bty student\u016fm na Madagaskaru za\u010d\u00e1tkem l\u00e9ta 2008. Nahr\u00e1vku si m\u016f\u017eete pustit n\u00ed\u017ee. Morris byl proslul\u00fd sv\u00fdm flegmatick\u00fdm projevem, i p\u0159esto v\u0161ak dok\u00e1zal ve sv\u00fdch \u017e\u00e1c\u00edch probudit obrovsk\u00e9 nad\u0161en\u00ed pro p\u0159edn\u00e1\u0161enou l\u00e1tku. Na nahr\u00e1vce m\u016f\u017eeme tak\u00e9 vid\u011bt Morrisova p\u0159\u00edtele Juliana, kter\u00fd byl pravd\u011bpodobn\u011b s Morrisem p\u0159i prvn\u00edm vysloven\u00ed Morrisovy v\u011bty.<span style=\"font-size: 14px; -webkit-text-size-adjust: 100%;\">&nbsp;<\/span><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-aa82d78 elementor-aspect-ratio-169 elementor-invisible elementor-widget elementor-widget-video\" data-id=\"aa82d78\" data-element_type=\"widget\" data-settings=\"{&quot;video_type&quot;:&quot;hosted&quot;,&quot;_animation&quot;:&quot;slideInLeft&quot;,&quot;controls&quot;:&quot;yes&quot;,&quot;aspect_ratio&quot;:&quot;169&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"e-hosted-video elementor-wrapper elementor-fit-aspect-ratio elementor-open-inline\">\n\t\t\t\t\t<video class=\"elementor-video\" src=\"http:\/\/morrisovaveta.com\/wp-content\/uploads\/2022\/12\/318874501_5178067535627317_7609612144032312977_n.mp4\" controls=\"\" controlsList=\"nodownload\"><\/video>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0b0095f elementor-widget elementor-widget-heading\" data-id=\"0b0095f\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">MOUDRO NA Z\u00c1V\u011aR<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-12382bb elementor-invisible elementor-widget elementor-widget-image\" data-id=\"12382bb\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;slideInLeft&quot;}\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"828\" height=\"536\" src=\"https:\/\/morrisovaveta.com\/wp-content\/uploads\/2022\/12\/318004857_845108379969118_49640538625829780_n.jpg\" class=\"attachment-large size-large wp-image-379\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/morrisovaveta.com\/wp-content\/uploads\/2022\/12\/318004857_845108379969118_49640538625829780_n.jpg 828w, https:\/\/morrisovaveta.com\/wp-content\/uploads\/2022\/12\/318004857_845108379969118_49640538625829780_n-300x194.jpg 300w, https:\/\/morrisovaveta.com\/wp-content\/uploads\/2022\/12\/318004857_845108379969118_49640538625829780_n-768x497.jpg 768w\" sizes=\"(max-width: 828px) 100vw, 828px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>MORRISOVA V\u011aTA \u00daVOD Tato str\u00e1nka shrnuje ve\u0161ker\u00e9 poznatky nashrom\u00e1\u017ed\u011bn\u00e9 v r\u00e1mci nejnov\u011bj\u0161\u00edch v\u00fdzkum\u016f Velk\u00e9 Morrisovy v\u011bty (zkr\u00e1cen\u011b Morrisovy v\u011bty). Tato matematick\u00e1 v\u011bta si v posledn\u00ed dob\u011b z\u00edsk\u00e1v\u00e1 st\u00e1le v\u011bt\u0161\u00ed oblibu, le\u010d publikac\u00ed (a\u0165 u\u017e v kni\u017en\u00ed nebo elektronick\u00e9 podob\u011b) je zat\u00edm pram\u00e1lo. D\u016fvod\u016f je pravd\u011bpodobn\u011b hned n\u011bkolik. T\u00edm hlavn\u00edm je bezpochyby jej\u00ed mlad\u00e1 historie, jeliko\u017e [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_mi_skip_tracking":false},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/morrisovaveta.com\/index.php?rest_route=\/wp\/v2\/pages\/7"}],"collection":[{"href":"https:\/\/morrisovaveta.com\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/morrisovaveta.com\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/morrisovaveta.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/morrisovaveta.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=7"}],"version-history":[{"count":352,"href":"https:\/\/morrisovaveta.com\/index.php?rest_route=\/wp\/v2\/pages\/7\/revisions"}],"predecessor-version":[{"id":413,"href":"https:\/\/morrisovaveta.com\/index.php?rest_route=\/wp\/v2\/pages\/7\/revisions\/413"}],"wp:attachment":[{"href":"https:\/\/morrisovaveta.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=7"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}