{"id":2548,"date":"2023-02-17T19:47:34","date_gmt":"2023-02-17T18:47:34","guid":{"rendered":"http:\/\/matma.com.pl\/?p=2548"},"modified":"2023-02-19T15:20:01","modified_gmt":"2023-02-19T14:20:01","slug":"zadanie-63-0-1-zbior-podstawa","status":"publish","type":"post","link":"http:\/\/matma.com.pl\/?p=2548","title":{"rendered":"zadanie 63 (0-1) zbi\u00f3r podstawa"},"content":{"rendered":"<p><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?A-\" alt=\"A-\" align=\"absmiddle\" \/>zdarzenie polegaj\u0105ce na tym, \u017ce ch\u0142opcy za\u0142o\u017c\u0105 koszulki w tym samym kolorze.<\/p>\n<p>Widzimy, \u017ce mog\u0105 jedynie ubra\u0107 koszulki czerwone lub bia\u0142e, \u017ceby mieli taki sam kolor koszulek.<\/p>\n<p>Zatem:<\/p>\n<p><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?\\left&amp;space;|&amp;space;A&amp;space;\\right&amp;space;|=2\" alt=\"\\left | A \\right |=2\" align=\"absmiddle\" \/><\/p>\n<p>Obliczmy liczb\u0119 wszystkich zdarze\u0144 elementarnych<\/p>\n<p><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?\\left&amp;space;|&amp;space;\\Omega&amp;space;\\right&amp;space;|=3\\cdot&amp;space;5=15\" alt=\"\\left | \\Omega \\right |=3\\cdot 5=15\" align=\"absmiddle\" \/><\/p>\n<p>Prawdopodobie\u0144stwo zdarzenia <img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?A\" alt=\"A\" align=\"absmiddle\" \/> jest r\u00f3wne:<\/p>\n<p><img decoding=\"async\" src=\"http:\/\/latex.codecogs.com\/gif.latex?P\\left&amp;space;(&amp;space;A&amp;space;\\right&amp;space;)=\\frac{2}{15}\" alt=\"P\\left ( A \\right )=\\frac{2}{15}\" align=\"absmiddle\" \/><\/p>\n<p>Prawid\u0142owa odpowied\u017a to <strong>A.<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>zdarzenie polegaj\u0105ce na tym, \u017ce ch\u0142opcy za\u0142o\u017c\u0105 koszulki w tym samym kolorze. Widzimy, \u017ce mog\u0105 jedynie ubra\u0107 koszulki czerwone lub bia\u0142e, \u017ceby mieli taki sam kolor koszulek. Zatem: Obliczmy liczb\u0119 wszystkich zdarze\u0144 elementarnych Prawdopodobie\u0144stwo zdarzenia jest r\u00f3wne: Prawid\u0142owa odpowied\u017a to A.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[44],"tags":[],"class_list":["post-2548","post","type-post","status-publish","format-standard","hentry","category-matura"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>zadanie 63 (0-1) zbi\u00f3r podstawa - Matma.com.pl<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"http:\/\/matma.com.pl\/?p=2548\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"zadanie 63 (0-1) zbi\u00f3r podstawa - Matma.com.pl\" \/>\n<meta property=\"og:description\" content=\"zdarzenie polegaj\u0105ce na tym, \u017ce ch\u0142opcy za\u0142o\u017c\u0105 koszulki w tym samym kolorze. Widzimy, \u017ce mog\u0105 jedynie ubra\u0107 koszulki czerwone lub bia\u0142e, \u017ceby mieli taki sam kolor koszulek. Zatem: Obliczmy liczb\u0119 wszystkich zdarze\u0144 elementarnych Prawdopodobie\u0144stwo zdarzenia jest r\u00f3wne: Prawid\u0142owa odpowied\u017a to A.\" \/>\n<meta property=\"og:url\" content=\"http:\/\/matma.com.pl\/?p=2548\" \/>\n<meta property=\"og:site_name\" content=\"Matma.com.pl\" \/>\n<meta property=\"article:published_time\" content=\"2023-02-17T18:47:34+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-02-19T14:20:01+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/latex.codecogs.com\/gif.latex?A-\" \/>\n<meta name=\"author\" content=\"lucynabartczak99\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Napisane przez\" \/>\n\t<meta name=\"twitter:data1\" content=\"lucynabartczak99\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"http:\/\/matma.com.pl\/?p=2548#article\",\"isPartOf\":{\"@id\":\"http:\/\/matma.com.pl\/?p=2548\"},\"author\":{\"name\":\"lucynabartczak99\",\"@id\":\"https:\/\/matma.com.pl\/#\/schema\/person\/b54229c3e035dea49ef8c166c5c63f1e\"},\"headline\":\"zadanie 63 (0-1) zbi\u00f3r podstawa\",\"datePublished\":\"2023-02-17T18:47:34+00:00\",\"dateModified\":\"2023-02-19T14:20:01+00:00\",\"mainEntityOfPage\":{\"@id\":\"http:\/\/matma.com.pl\/?p=2548\"},\"wordCount\":53,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/matma.com.pl\/#organization\"},\"articleSection\":[\"Matura\"],\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"http:\/\/matma.com.pl\/?p=2548#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"http:\/\/matma.com.pl\/?p=2548\",\"url\":\"http:\/\/matma.com.pl\/?p=2548\",\"name\":\"zadanie 63 (0-1) zbi\u00f3r podstawa - Matma.com.pl\",\"isPartOf\":{\"@id\":\"https:\/\/matma.com.pl\/#website\"},\"datePublished\":\"2023-02-17T18:47:34+00:00\",\"dateModified\":\"2023-02-19T14:20:01+00:00\",\"breadcrumb\":{\"@id\":\"http:\/\/matma.com.pl\/?p=2548#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"http:\/\/matma.com.pl\/?p=2548\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"http:\/\/matma.com.pl\/?p=2548#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/matma.com.pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"zadanie 63 (0-1) zbi\u00f3r podstawa\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/matma.com.pl\/#website\",\"url\":\"https:\/\/matma.com.pl\/\",\"name\":\"Matma.com.pl\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\/\/matma.com.pl\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/matma.com.pl\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pl-PL\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/matma.com.pl\/#organization\",\"name\":\"Matma.com.pl\",\"url\":\"https:\/\/matma.com.pl\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pl-PL\",\"@id\":\"https:\/\/matma.com.pl\/#\/schema\/logo\/image\/\",\"url\":\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/07\/cropped-trudne-1.jpg\",\"contentUrl\":\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/07\/cropped-trudne-1.jpg\",\"width\":150,\"height\":30,\"caption\":\"Matma.com.pl\"},\"image\":{\"@id\":\"https:\/\/matma.com.pl\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/matma.com.pl\/#\/schema\/person\/b54229c3e035dea49ef8c166c5c63f1e\",\"name\":\"lucynabartczak99\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pl-PL\",\"@id\":\"https:\/\/matma.com.pl\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/a77fc36c9912d50deeefdd4c81a75615386fbe2bdaccb30be7a599c7e140e577?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/a77fc36c9912d50deeefdd4c81a75615386fbe2bdaccb30be7a599c7e140e577?s=96&d=mm&r=g\",\"caption\":\"lucynabartczak99\"},\"url\":\"http:\/\/matma.com.pl\/?author=1\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"zadanie 63 (0-1) zbi\u00f3r podstawa - Matma.com.pl","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"http:\/\/matma.com.pl\/?p=2548","og_locale":"pl_PL","og_type":"article","og_title":"zadanie 63 (0-1) zbi\u00f3r podstawa - Matma.com.pl","og_description":"zdarzenie polegaj\u0105ce na tym, \u017ce ch\u0142opcy za\u0142o\u017c\u0105 koszulki w tym samym kolorze. Widzimy, \u017ce mog\u0105 jedynie ubra\u0107 koszulki czerwone lub bia\u0142e, \u017ceby mieli taki sam kolor koszulek. Zatem: Obliczmy liczb\u0119 wszystkich zdarze\u0144 elementarnych Prawdopodobie\u0144stwo zdarzenia jest r\u00f3wne: Prawid\u0142owa odpowied\u017a to A.","og_url":"http:\/\/matma.com.pl\/?p=2548","og_site_name":"Matma.com.pl","article_published_time":"2023-02-17T18:47:34+00:00","article_modified_time":"2023-02-19T14:20:01+00:00","og_image":[{"url":"http:\/\/latex.codecogs.com\/gif.latex?A-"}],"author":"lucynabartczak99","twitter_card":"summary_large_image","twitter_misc":{"Napisane przez":"lucynabartczak99"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"http:\/\/matma.com.pl\/?p=2548#article","isPartOf":{"@id":"http:\/\/matma.com.pl\/?p=2548"},"author":{"name":"lucynabartczak99","@id":"https:\/\/matma.com.pl\/#\/schema\/person\/b54229c3e035dea49ef8c166c5c63f1e"},"headline":"zadanie 63 (0-1) zbi\u00f3r podstawa","datePublished":"2023-02-17T18:47:34+00:00","dateModified":"2023-02-19T14:20:01+00:00","mainEntityOfPage":{"@id":"http:\/\/matma.com.pl\/?p=2548"},"wordCount":53,"commentCount":0,"publisher":{"@id":"https:\/\/matma.com.pl\/#organization"},"articleSection":["Matura"],"inLanguage":"pl-PL","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["http:\/\/matma.com.pl\/?p=2548#respond"]}]},{"@type":"WebPage","@id":"http:\/\/matma.com.pl\/?p=2548","url":"http:\/\/matma.com.pl\/?p=2548","name":"zadanie 63 (0-1) zbi\u00f3r podstawa - Matma.com.pl","isPartOf":{"@id":"https:\/\/matma.com.pl\/#website"},"datePublished":"2023-02-17T18:47:34+00:00","dateModified":"2023-02-19T14:20:01+00:00","breadcrumb":{"@id":"http:\/\/matma.com.pl\/?p=2548#breadcrumb"},"inLanguage":"pl-PL","potentialAction":[{"@type":"ReadAction","target":["http:\/\/matma.com.pl\/?p=2548"]}]},{"@type":"BreadcrumbList","@id":"http:\/\/matma.com.pl\/?p=2548#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/matma.com.pl\/"},{"@type":"ListItem","position":2,"name":"zadanie 63 (0-1) zbi\u00f3r podstawa"}]},{"@type":"WebSite","@id":"https:\/\/matma.com.pl\/#website","url":"https:\/\/matma.com.pl\/","name":"Matma.com.pl","description":"","publisher":{"@id":"https:\/\/matma.com.pl\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/matma.com.pl\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"pl-PL"},{"@type":"Organization","@id":"https:\/\/matma.com.pl\/#organization","name":"Matma.com.pl","url":"https:\/\/matma.com.pl\/","logo":{"@type":"ImageObject","inLanguage":"pl-PL","@id":"https:\/\/matma.com.pl\/#\/schema\/logo\/image\/","url":"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/07\/cropped-trudne-1.jpg","contentUrl":"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/07\/cropped-trudne-1.jpg","width":150,"height":30,"caption":"Matma.com.pl"},"image":{"@id":"https:\/\/matma.com.pl\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/matma.com.pl\/#\/schema\/person\/b54229c3e035dea49ef8c166c5c63f1e","name":"lucynabartczak99","image":{"@type":"ImageObject","inLanguage":"pl-PL","@id":"https:\/\/matma.com.pl\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/a77fc36c9912d50deeefdd4c81a75615386fbe2bdaccb30be7a599c7e140e577?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/a77fc36c9912d50deeefdd4c81a75615386fbe2bdaccb30be7a599c7e140e577?s=96&d=mm&r=g","caption":"lucynabartczak99"},"url":"http:\/\/matma.com.pl\/?author=1"}]}},"_links":{"self":[{"href":"http:\/\/matma.com.pl\/index.php?rest_route=\/wp\/v2\/posts\/2548","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/matma.com.pl\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/matma.com.pl\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/matma.com.pl\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/matma.com.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2548"}],"version-history":[{"count":1,"href":"http:\/\/matma.com.pl\/index.php?rest_route=\/wp\/v2\/posts\/2548\/revisions"}],"predecessor-version":[{"id":2549,"href":"http:\/\/matma.com.pl\/index.php?rest_route=\/wp\/v2\/posts\/2548\/revisions\/2549"}],"wp:attachment":[{"href":"http:\/\/matma.com.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2548"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/matma.com.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2548"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/matma.com.pl\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2548"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}