SOLUTION: A family has 6 children. Assume that each child is as likely to be a boy as it is to be a girl. Find the probability that the family has 6 girls if it is known the family has at

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Question 1100230: A family has 6 children. Assume that each child is as likely to be
a boy as it is to be a girl. Find the probability that the family
has 6 girls if it is known the family has at least one girl.
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
The complement event of at least one girl is the event of 6 boys.

The probability of no girls, or all boys, is:

Probability of a boy 1st, and a boy 2nd, and a boy 3rd,
and a boy 4th, and a boy 5th, and a boy 6th. 

(1/2)(1/2)(1/2)(1/2)(1/2)(1/2) = (1/2)6 = 1/64.

So the probability of at least 1 girl is the complement
event, whose probability is:

1 - 1/64 = 63/64.

Edwin