{"id":7001,"date":"2021-10-22T14:39:29","date_gmt":"2021-10-22T09:09:29","guid":{"rendered":"https:\/\/mathemerize.com\/?p=7001"},"modified":"2021-10-25T01:47:45","modified_gmt":"2021-10-24T20:17:45","slug":"three-houses-are-available-in-a-locality-three-persons-apply-for-the-houses-each-applies-for-one-house-without-consulting-others-the-probability-that-three-apply-for-the-same-house-is","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/three-houses-are-available-in-a-locality-three-persons-apply-for-the-houses-each-applies-for-one-house-without-consulting-others-the-probability-that-three-apply-for-the-same-house-is\/","title":{"rendered":"Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that three apply for the same house is"},"content":{"rendered":"<h2>Solution :<\/h2>\n<p>\\(\\therefore\\)\u00a0 Total number of cases = \\(3^3\\)<\/p>\n<p>Now, favourable cases = 3(as either all has applied for house 1 or 2 or 3)<\/p>\n<p>\\(\\therefore\\) Required Probability = \\(3\\over 3^3\\) = \\(1\\over 9\\)<\/p>\n<hr \/>\n<h3 style=\"text-align: center;\">Similar Questions<\/h3>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/the-probability-of-india-winning-a-test-match-against-the-west-indies-is-1-2-assuming-independence-from-match-to-match-the-probability-that-in-a-match-series-indias-second-win-occurs-at-the-third-t\/\" aria-label=\"\u201cThe probability of India winning a test match against the west indies is 1\/2 assuming independence from match to match. The probability that in a match series India\u2019s second win occurs at the third test is\u201d (Edit)\">The probability of India winning a test match against the west indies is 1\/2 assuming independence from match to match. The probability that in a match series India\u2019s second win occurs at the third test is<\/a><\/p>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/a-fair-die-is-tossed-eight-times-the-probability-that-a-third-six-is-observed-on-the-eight-throw-is\/\" aria-label=\"\u201cA fair die is tossed eight times. The probability that a third six is observed on the eight throw, is\u201d (Edit)\">A fair die is tossed eight times. The probability that a third six is observed on the eight throw, is<\/a><\/p>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/if-a-and-b-are-two-mutually-exclusive-events-then\/\" aria-label=\"\u201cIf A and B are two mutually exclusive events, then\u201d (Edit)\">If A and B are two mutually exclusive events, then<\/a><\/p>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/a-pair-of-fair-dice-is-thrown-independently-three-times-the-probability-of-getting-a-score-of-exactly-9-twice-is\/\" aria-label=\"\u201cA pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice is\u201d (Edit)\">A pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice is<\/a><\/p>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/at-a-telephone-enquiry-system-the-number-of-phone-calls-regarding-relevant-enquiry-follow-poisson-distribution-with-an-average-of-5-phone-calls-during-10-min-time-intervals-the-probability-that-the\/\" aria-label=\"\u201cAt a telephone enquiry system, the number of phone calls regarding relevant enquiry follow. Poisson distribution with an average of 5 phone calls during 10 min time intervals. The probability that there is almost one phone call during a 10 min time period is\u201d (Edit)\">At a telephone enquiry system, the number of phone calls regarding relevant enquiry follow. Poisson distribution with an average of 5 phone calls during 10 min time intervals. The probability that there is almost one phone call during a 10 min time period is<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solution : \\(\\therefore\\)\u00a0 Total number of cases = \\(3^3\\) Now, favourable cases = 3(as either all has applied for house 1 or 2 or 3) \\(\\therefore\\) Required Probability = \\(3\\over 3^3\\) = \\(1\\over 9\\) Similar Questions The probability of India winning a test match against the west indies is 1\/2 assuming independence from match to &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathemerize.com\/three-houses-are-available-in-a-locality-three-persons-apply-for-the-houses-each-applies-for-one-house-without-consulting-others-the-probability-that-three-apply-for-the-same-house-is\/\"> <span class=\"screen-reader-text\">Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that three apply for the same house is<\/span> Read More &raquo;<\/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":"<!-- This site is optimized with the Yoast SEO plugin v20.12 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that three apply for the same house is<\/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\/three-houses-are-available-in-a-locality-three-persons-apply-for-the-houses-each-applies-for-one-house-without-consulting-others-the-probability-that-three-apply-for-the-same-house-is\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that three apply for the same house is\" \/>\n<meta property=\"og:description\" content=\"Solution : (therefore)\u00a0 Total number of cases = (3^3) Now, favourable cases = 3(as either all has applied for house 1 or 2 or 3) (therefore) Required Probability = (3over 3^3) = (1over 9) Similar Questions The probability of India winning a test match against the west indies is 1\/2 assuming independence from match to &hellip; Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. 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