{"id":876,"date":"2022-02-15T00:11:32","date_gmt":"2022-02-15T00:11:32","guid":{"rendered":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/reseny-priklad-2\/"},"modified":"2022-03-03T16:22:11","modified_gmt":"2022-03-03T16:22:11","slug":"reseny-priklad-2","status":"publish","type":"lesson","link":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/reseny-priklad-2\/","title":{"rendered":"\u0158e\u0161en\u00fd p\u0159\u00edklad 2"},"content":{"rendered":"<p><strong>Zad\u00e1n\u00ed p\u0159\u00edkladu:<\/strong><\/p>\n<p>Vypo\u010dt\u011bte pravd\u011bpodobnost toho, \u017ee z mno\u017einy po sob\u011b jdouc\u00edch p\u0159irozen\u00fdch \u010d\u00edsel od 1 do 100 bude n\u00e1hodn\u011b vybran\u00e9 \u010d\u00edslo d\u011bliteln\u00e9:<\/p>\n<p>a) osmi<\/p>\n<p>b) dv\u011bma, ale nen\u00ed d\u011bliteln\u00e9 osmi<\/p>\n<p><strong>\u0158e\u0161en\u00ed:<\/strong><\/p>\n<p>a) Nejprve mus\u00edme naj\u00edt <strong>v\u0161echa \u010d\u00edsla od 1 do 100, kter\u00e1 jsou d\u011bliteln\u00e1 osmi. <\/strong><\/p>\n<p>Tato \u010d\u00edsla jsou: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96. Celkem jich je 12.<\/p>\n<p>|A|= 12<\/p>\n<p>|\u03c9|= 100<\/p>\n<p>$$P(A)= \\frac{|A|}{|\\omega|}$$<\/p>\n<p>$$P(A)=\\frac{12}{100}$$<\/p>\n<p><strong>$$P(A)=0,12$$<\/strong><\/p>\n<p>Pravd\u011bpodobnost toho, \u017ee n\u00e1hodn\u011b vybran\u00e9 \u010d\u00edslo z mno\u017einy po sob\u011b jdouc\u00edch p\u0159irozen\u00fdch \u010d\u00edsel od 1 do 100, bude d\u011bliteln\u00e9 osmi je <strong>12%<\/strong>.<\/p>\n<p>b) V mno\u017ein\u011b p\u0159irozen\u00fdch \u010d\u00edsel od 1 do 100 je 50 z nich d\u011bliteln\u00fdch dv\u011bma. Z nich je ale z\u00e1rove\u0148 12 d\u011bliteln\u00fdch i osmi, z toho v\u00fdpl\u00fdv\u00e1:<\/p>\n<p>|A|= 50-12 = 38<\/p>\n<p>|\u03c9|= 100<\/p>\n<p>$$P(A)= \\frac{|A|}{|\\omega|}$$<\/p>\n<p>$$P(A)=\u00a0 \\frac{38}{100}$$<\/p>\n<p><strong>P(A) = 0,38\u00a0<\/strong><\/p>\n<p>Pravd\u011bpodobnost toho, \u017ee n\u00e1hodn\u011b vybran\u00e9 p\u0159irozen\u00e9 \u010d\u00edslo z mno\u017einy po sob\u011b jdouc\u00edch p\u0159irozen\u00fdch \u010d\u00edsel od 1 do 100, bude d\u011bliteln\u00e9 dv\u011bma, ale nebude d\u011bliteln\u00e9 osmi je <strong>38%<\/strong>.<\/p>\n","protected":false},"comment_status":"closed","ping_status":"closed","template":"","class_list":["post-876","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>\u0158e\u0161en\u00fd p\u0159\u00edklad 2 | 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-2\/\" \/>\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 2 | Studijni-svet.cz\" \/>\n<meta property=\"og:description\" content=\"Zad\u00e1n\u00ed p\u0159\u00edkladu: Vypo\u010dt\u011bte pravd\u011bpodobnost toho, \u017ee z mno\u017einy po sob\u011b jdouc\u00edch p\u0159irozen\u00fdch \u010d\u00edsel od 1 do 100 bude n\u00e1hodn\u011b vybran\u00e9 \u010d\u00edslo d\u011bliteln\u00e9: a) osmi b) dv\u011bma, ale nen\u00ed d\u011bliteln\u00e9 osmi \u0158e\u0161en\u00ed: a) Nejprve mus\u00edme naj\u00edt v\u0161echa \u010d\u00edsla od 1 do 100, kter\u00e1 jsou d\u011bliteln\u00e1 osmi. 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