consider the probability of a boys or a girl is 0.5 .and the probability of choosing a day in week to be 1/7 .if a person is selected at the random such that he has two children and one of them is born on Monday what is the probability that the person has two boys.
Answers
Given : the probability of a boys or a girl is 0.5 .and
the probability of choosing a day in week to be 1/7
a person is selected at the random such that he has two children and one of them is born on Monday
To Find : what is the probability that the person has two boys.
Solution:
probability of a boys or a girl is 0.5 on any day of the week
Hence its immaterial that child is born on which day .
Both Boys =BB (0.5)(0.5) = 0.25
Both Girls = GG = (0.5)(0.5) = 0.25
one boy one girl = BG + GB = (0.5)(0.5) + (0.5)(0.5) = 0.5
Hence probability that the person has two boys. = 0.25
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