{"id":6744,"date":"2021-10-21T13:38:11","date_gmt":"2021-10-21T08:08:11","guid":{"rendered":"https:\/\/mathemerize.com\/?p=6744"},"modified":"2021-10-25T02:03:51","modified_gmt":"2021-10-24T20:33:51","slug":"a-coin-is-tossed-successively-three-times-find-the-probability-of-getting-exactly-one-head-or-two-heads","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/a-coin-is-tossed-successively-three-times-find-the-probability-of-getting-exactly-one-head-or-two-heads\/","title":{"rendered":"A coin is tossed successively three times. Find the probability of getting exactly one head or two heads."},"content":{"rendered":"

Solution :<\/h2>\n

We know that probability of event = no. of favorable outcome\/total outcome<\/p>\n

Sample space of event : { (H , H , H) , (H , H , T) , (H , T , H) , (H , T , T) , (T , H , H) , (T , H , T) , (T , T , H) , (T , T , T) }<\/p>\n

favorable outcome of getting one head : { (H , T , T) , (T , H , T) , (T , T , H) }<\/p>\n

Probability of getting one head = 3\/8<\/p>\n

favorable outcome of getting two head : { (H , H , T) , (H , T , H) , (T , H , H) }<\/p>\n

Probability of getting two head = 3\/8<\/p>\n

Probability of getting exactly one head or two heads = \\(3\\over 8\\) + \\(3\\over 8\\) = \\(6\\over 8\\) = \\(3\\over 4\\)<\/p>\n

Hence, Probability of getting exactly one head or two heads = \\(3\\over 4\\)<\/p>\n

\n

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Solution : We know that probability of event = no. of favorable outcome\/total outcome Sample space of event : { (H , H , H) , (H , H , T) , (H , T , H) , (H , T , T) , (T , H , H) , (T , H , T) …<\/p>\n

A coin is tossed successively three times. Find the probability of getting exactly one head or two heads.<\/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":"\nA coin is tossed successively three times. 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