# Math Help - Marriage Probability

1. ## 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....

2. Hello Allenge
Originally Posted by Allenge
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.)