{"id":408,"date":"2022-01-30T21:31:30","date_gmt":"2022-01-30T21:31:30","guid":{"rendered":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/navrh-lekce\/"},"modified":"2022-02-14T23:18:12","modified_gmt":"2022-02-14T23:18:12","slug":"reseny-priklad","status":"publish","type":"lesson","link":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/reseny-priklad\/","title":{"rendered":"\u0158e\u0161en\u00fd p\u0159\u00edklad"},"content":{"rendered":"<p><strong>Zad\u00e1n\u00ed p\u0159\u00edkladu:<\/strong><\/p>\n<p style=\"text-align: center\">M\u00e1me 9 r\u016fzn\u00fdch karet. Ka\u017ed\u00e1 z nich obsahuje jeden ze t\u0159\u00ed obrazc\u016f (kruh, \u010dtverec, troj\u00faheln\u00edk) v jedn\u00e9 ze t\u0159\u00ed mo\u017en\u00fdch barev (modr\u00e1, \u010dern\u00e1, \u0161ed\u00e1). Zam\u00edch\u00e1me karty a n\u00e1hodn\u011b d\u00e1me pry\u010d 2 z nich.<\/p>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter size-full wp-image-9072\" src=\"https:\/\/studijni-svet.cz\/wp-content\/uploads\/2019\/04\/karty.png\" alt=\"\" width=\"411\" height=\"132\" \/><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center\"><strong>Jak\u00e1 je pravd\u011bpodobnost, \u017ee ani jedna z odebran\u00fdch karet, na sob\u011b nebude m\u00edt troj\u00faheln\u00edk ani obrazec \u010dern\u00e9 barvy?<\/strong><\/p>\n<p style=\"text-align: center\">$$a) \\frac{1}{6}$$<\/p>\n<p style=\"text-align: center\">$$b) \\frac{2}{9}$$<\/p>\n<p style=\"text-align: center\">$$c) \\frac{1}{3}$$<\/p>\n<p style=\"text-align: center\">$$d) \\frac{4}{9}$$<\/p>\n<p style=\"text-align: center\">e) jin\u00e1 pravd\u011bpodobnost<\/p>\n<p>&nbsp;<\/p>\n<p><strong>\u0158e\u0161en\u00ed:<\/strong><\/p>\n<p style=\"text-align: center\">1) Nejd\u0159\u00edve si mus\u00edme zrekapitulovat, jak\u00e9 karty m\u00e1me k dispozici<\/p>\n<p style=\"text-align: center\">3 s obrazci \u0161ed\u00e9 barvy (kruh, \u010dtverec, troj\u00faheln\u00edk)<\/p>\n<p style=\"text-align: center\">3 s obrazci \u010dern\u00e9 barvy (kruh, \u010dtverec, troj\u00faheln\u00edk)<\/p>\n<p style=\"text-align: center\">3 s obrazci modr\u00e9 barvy (kruh, \u010dtverec, troj\u00faheln\u00edk)<\/p>\n<p style=\"text-align: center\">2) Pravd\u011bpodobnost se vypo\u010d\u00edt\u00e1 jako po\u010det spr\u00e1vn\u00fdch p\u0159\u00edpad\u016f, kter\u00e9 vyd\u011bl\u00edme po\u010dtem v\u0161ech p\u0159\u00edpad\u016f. V\u0161echny p\u0159\u00edpady jsou po\u010det dvoj\u010dlenn\u00fdch kombinac\u00ed z dev\u00edti prvk\u016f. Spr\u00e1vn\u00e9 p\u0159\u00edpady jsou po\u010det dvou\u010dlenn\u00fdch kombinac\u00ed ze \u010dty\u0159 prvk\u016f (zb\u00fdvaj\u00edc\u00edch p\u011bt prvk\u016f do dev\u00edti jsou nep\u0159\u00edpustn\u00e9 p\u0159\u00edpady, tj. \u010dern\u00e1 nebo troj\u00faheln\u00edk).<\/p>\n<p style=\"text-align: center\">$$p=\\frac{(_{2}^{4})}{(_{2}^{9})}$$<\/p>\n<p style=\"text-align: center\">3) Se slo\u017een\u00fdm zlomkem si porad\u00edme tak, \u017ee nejd\u0159\u00edve vyn\u00e1sob\u00edme jmenovatele, ty posl\u00e9ze p\u0159ijdou do \u010ditatele, d\u00e1le rozn\u00e1sob\u00edme \u010ditatele, kter\u00e9 d\u00e1me do jmenovatele; dost\u00e1v\u00e1 tento v\u00fdsledek<\/p>\n<p style=\"text-align: center\">$$\\frac{4}{36}$$<\/p>\n<p style=\"text-align: center\">4) Uprav\u00edme, vyd\u011bl\u00edme 4 \u010ditatele a jmenovatele a z\u00edsk\u00e1me \u010d\u00edslo<\/p>\n<p style=\"text-align: center\">$$\\frac{1}{6}$$<\/p>\n<p style=\"text-align: center\"><strong>Spr\u00e1vn\u011b je odpov\u011b\u010f (a)<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p><strong>\u010casov\u00e1 n\u00e1ro\u010dnost: <\/strong>5-6 minut<\/p>\n","protected":false},"comment_status":"closed","ping_status":"closed","template":"","class_list":["post-408","lesson","type-lesson","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u0158e\u0161en\u00fd p\u0159\u00edklad | 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\/reseny-priklad\/\" \/>\n<meta property=\"og:locale\" content=\"cs_CZ\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0158e\u0161en\u00fd p\u0159\u00edklad | Studijni-svet.cz\" \/>\n<meta property=\"og:description\" content=\"Zad\u00e1n\u00ed p\u0159\u00edkladu: M\u00e1me 9 r\u016fzn\u00fdch karet. Ka\u017ed\u00e1 z nich obsahuje jeden ze t\u0159\u00ed obrazc\u016f (kruh, \u010dtverec, troj\u00faheln\u00edk) v jedn\u00e9 ze t\u0159\u00ed mo\u017en\u00fdch barev (modr\u00e1, \u010dern\u00e1, \u0161ed\u00e1). Zam\u00edch\u00e1me karty a n\u00e1hodn\u011b d\u00e1me pry\u010d 2 z nich. &nbsp; Jak\u00e1 je pravd\u011bpodobnost, \u017ee ani jedna z odebran\u00fdch karet, na sob\u011b nebude m\u00edt troj\u00faheln\u00edk ani obrazec \u010dern\u00e9 barvy? $$a) ... 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Ka\u017ed\u00e1 z nich obsahuje jeden ze t\u0159\u00ed obrazc\u016f (kruh, \u010dtverec, troj\u00faheln\u00edk) v jedn\u00e9 ze t\u0159\u00ed mo\u017en\u00fdch barev (modr\u00e1, \u010dern\u00e1, \u0161ed\u00e1). Zam\u00edch\u00e1me karty a n\u00e1hodn\u011b d\u00e1me pry\u010d 2 z nich. &nbsp; Jak\u00e1 je pravd\u011bpodobnost, \u017ee ani jedna z odebran\u00fdch karet, na sob\u011b nebude m\u00edt troj\u00faheln\u00edk ani obrazec \u010dern\u00e9 barvy? $$a) ... 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