{"id":1272,"date":"2022-03-08T13:17:46","date_gmt":"2022-03-08T13:17:46","guid":{"rendered":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/pravdepodobnost-polopate\/"},"modified":"2022-03-08T17:28:24","modified_gmt":"2022-03-08T17:28:24","slug":"pravdepodobnost-polopate","status":"publish","type":"lesson","link":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/pravdepodobnost-polopate\/","title":{"rendered":"Pravd\u011bpodobnost polopat\u011b"},"content":{"rendered":"<ul>\n<li>K v\u00fdpo\u010dtu pravd\u011bpodobnosti existuj\u00ed vzore\u010dky, s jejich\u017e pomoc\u00ed je snadn\u00e9 vypo\u010d\u00edtat s jakou pravd\u011bpodobnost\u00ed dojde k libovoln\u00e9mu jevu.<\/li>\n<li>Ne\u017e se k nim ale dostaneme,<strong> je d\u016fle\u017eit\u00e9 pochopit, jak s nimi pracovat.<\/strong><\/li>\n<li>Poj\u010fme se tedy pod\u00edvat na p\u0159\u00edklad s onou hrac\u00ed kostkou a dobrat se spole\u010dn\u011b k tomu <strong>S JAKOU PRAVD\u011aPODOBNOST\u00cd N\u00c1M P\u0158I H\u00c1ZEN\u00cd HRAC\u00cd KOSTKOU PADNE DVAKR\u00c1T ZA SEBOU DVOJKA.<\/strong><\/li>\n<\/ul>\n<h2>Zad\u00e1n\u00ed:<\/h2>\n<p>Vypo\u010d\u00edtej, s jakou pravd\u011bpodobnost\u00ed p\u0159i h\u00e1zen\u00ed hrac\u00ed kostkou padne dvakr\u00e1t po sob\u011b dvojka.<\/p>\n<h2>\u0158e\u0161en\u00ed:<\/h2>\n<p>Nejprve se zamysl\u00edme nad t\u00edm, <strong>s jakou pravd\u011bpodobnost\u00ed padne p\u0159i hodu kostkou dvojka<\/strong>?<\/p>\n<p>Na hrac\u00ed kostce se nach\u00e1z\u00ed \u010d\u00edsla: <strong>1, 2, 3, 4, 5, 6<\/strong>. To je tedy celkem <strong>\u0161est mo\u017enost\u00ed<\/strong>. Pravd\u011bpodobnost toho, \u017ee p\u0159i hodu kostkou padne pr\u00e1v\u011b \u010d\u00edslo dva je tedy<strong> jedna \u0161estina<\/strong>. Pro\u010d? <strong>Z celkem \u0161esti mo\u017enost\u00ed m\u016f\u017ee nastat pouze jedna.<\/strong> A jedna mo\u017enost ze \u0161esti se d\u00e1 pomoc\u00ed zlomku vyj\u00e1d\u0159it jako jedna \u0161estina. Pop\u0159\u00edpad\u011b pomoc\u00ed procent jako 16,666%.<\/p>\n<p>To bychom tedy m\u011bli. Jak\u00e1 je ale pravd\u011bpodobnost toho, \u017ee dvojka padne i p\u0159i druh\u00e9m hodu?<\/p>\n<p>Kdy\u017e se nad t\u00edm zamysl\u00edme, tak dojdeme k pozn\u00e1n\u00ed, \u017ee hody kostkou na sob\u011b nejsou nijak z\u00e1visl\u00e9, proto<strong> i p\u0159i druh\u00e9m hodu m\u016f\u017ee dvojka padnout s \u00fapln\u011b stejnou pravd\u011bpodobnost\u00ed<\/strong>, kterou matematicky vyj\u00e1d\u0159\u00edme jako jednu \u0161estinu nebo tak\u00e9 16,666%.<\/p>\n<p>Je tedy pravd\u011bpodobnost toho, \u017ee padne p\u0159i dvou hodech kostkou dvojka rovn\u00e1 16,666% ?<\/p>\n<p>Nen\u00ed. Zat\u00edm jsme toti\u017e zjistili pouze to, jak\u00e1 je pravd\u011bpodobnost b\u011bhem jednoho hodu. Nyn\u00ed mus\u00edme<strong> d\u00e1t oba v\u00fdsledky dohromady<\/strong>. To provedeme jednodu\u0161e tak, \u017ee je <strong>mezi sebou vyn\u00e1sob\u00edme<\/strong>.<\/p>\n<p>$$ \\frac{1}{6}\\cdot\\frac{1}{6}=\\frac{1}{36}=0,027$$<\/p>\n<p>Dostaneme tedy v\u00fdsledek, kter\u00fd n\u00e1m stanovil, \u017ee pravd\u011bpodobnost toho, \u017ee p\u0159i h\u00e1zen\u00ed hrac\u00ed kostkou padne dvakr\u00e1t po sob\u011b dvojka je 2,7%.<\/p>\n","protected":false},"comment_status":"closed","ping_status":"closed","template":"","class_list":["post-1272","lesson","type-lesson","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Pravd\u011bpodobnost polopat\u011b | Studijni-svet.cz<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/pravdepodobnost-polopate\/\" \/>\n<meta property=\"og:locale\" content=\"cs_CZ\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Pravd\u011bpodobnost polopat\u011b | Studijni-svet.cz\" \/>\n<meta property=\"og:description\" content=\"K v\u00fdpo\u010dtu pravd\u011bpodobnosti existuj\u00ed vzore\u010dky, s jejich\u017e pomoc\u00ed je snadn\u00e9 vypo\u010d\u00edtat s jakou pravd\u011bpodobnost\u00ed dojde k libovoln\u00e9mu jevu. 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