SOLUTION: If a couple plans to have eight children, find the probability that they are all of the same gender. Thanks a lot.

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Question 15121: If a couple plans to have eight children, find the probability that they are all of the same gender.
Thanks a lot.
Found 2 solutions by rapaljer, biplavmehta:
Answer by rapaljer(4671) About Me  (Show Source):
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The probability of having a boy is 1/2, and the probability of having a girl is also 1/2.

To find the probability of having successive children of a particular gender, assuming that the birth of each child is independent of every other child is the product of the probabilities. Suppose the first child born determines the gender, boy or girl, of all the other children. Therefore, if there are 8 children, the probability that the succeeding SEVEN children will match the gender of the first child will be

R^2 at SCC

Answer by biplavmehta(3) About Me  (Show Source):
You can put this solution on YOUR website!
chances of having boy or a girl is 1/2.
therefore having all of same gender is 1/2*1/2*1/2*1/2*1/2*1/2*1/2*1/2= 1/256.