{"id":7027,"date":"2021-10-22T15:40:12","date_gmt":"2021-10-22T10:10:12","guid":{"rendered":"https:\/\/mathemerize.com\/?p=7027"},"modified":"2021-10-25T01:43:35","modified_gmt":"2021-10-24T20:13:35","slug":"if-a-and-b-are-two-mutually-exclusive-events-then","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/if-a-and-b-are-two-mutually-exclusive-events-then\/","title":{"rendered":"If A and B are two mutually exclusive events, then"},"content":{"rendered":"

Question :<\/h2>\n

If A and B are two mutually exclusive events, then<\/p>\n

(a) P(A) < P(B’)<\/p>\n

(b) P(A) > P(B’)<\/p>\n

(c) P(A) < P(B)<\/p>\n

(d) None of these<\/p>\n

Solution :<\/h2>\n

Since, A and B are two mutually exclusive events.<\/p>\n

\\(\\therefore\\)\u00a0 \u00a0 A \\(\\cap\\) B = \\(\\phi\\) \\(\\implies\\) Either A \\(\\subseteq\\) B’ or B \\(\\subseteq\\) A’<\/p>\n

\\(\\implies\\) P(A) \\(\\le\\) P(B’)\u00a0 or\u00a0 P(B) \\(\\le\\) P(A’)<\/p>\n

Hence, Answer is (d) None of these.<\/p>\n

\n

Similar Questions<\/h3>\n

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Question : If A and B are two mutually exclusive events, then (a) P(A) < P(B’) (b) P(A) > P(B’) (c) P(A) < P(B) (d) None of these Solution : Since, A and B are two mutually exclusive events. \\(\\therefore\\)\u00a0 \u00a0 A \\(\\cap\\) B = \\(\\phi\\) \\(\\implies\\) Either A \\(\\subseteq\\) B’ or B \\(\\subseteq\\) A’ …<\/p>\n

If A and B are two mutually exclusive events, then<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[43,44],"tags":[],"yoast_head":"\nIf A and B are two mutually exclusive events, then<\/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:\/\/mathemerize.com\/if-a-and-b-are-two-mutually-exclusive-events-then\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If A and B are two mutually exclusive events, then\" \/>\n<meta property=\"og:description\" content=\"Question : If A and B are two mutually exclusive events, then (a) P(A) < P(B’) (b) P(A) > P(B’) (c) P(A) < P(B) (d) None of these Solution : Since, A and B are two mutually exclusive events. 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