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Math Help - Marriage Probability

  1. #1
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    Marriage Probability

    Somebody plase help me on this....
    A journal polled its readers to determine the proportion of wives who, if given a second chance, would marry their husband. According to the responses from the survey, 60% of wives would marry their husbands again. Suppose a random and independent sample of 6 wives was collected. Find the probability that at most 5 of the wives sampled said they would marry their husbands again.

    Thanks....
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  2. #2
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    Hello Allenge
    Quote Originally Posted by Allenge View Post
    Somebody plase help me on this....
    A journal polled its readers to determine the proportion of wives who, if given a second chance, would marry their husband. According to the responses from the survey, 60% of wives would marry their husbands again. Suppose a random and independent sample of 6 wives was collected. Find the probability that at most 5 of the wives sampled said they would marry their husbands again.

    Thanks....
    The probability that any one of the wives chosen and interviewed at random would marry their husband again is 0.6. So the probability that all six would do so is (0.6)^6. So the probability that at most 5 would do so is 1 - (0.6)^6 = 0.953 (3 d.p.)

    Grandad
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