SOLUTION: Assume that the probability is .5 that a child is born a boy and births are independent. What is the probability that if a family will have 4 children (no twins) they will all be b

Algebra ->  Probability-and-statistics -> SOLUTION: Assume that the probability is .5 that a child is born a boy and births are independent. What is the probability that if a family will have 4 children (no twins) they will all be b      Log On


   



Question 437292: Assume that the probability is .5 that a child is born a boy and births are independent. What is the probability that if a family will have 4 children (no twins) they will all be boys?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi
Note: The probability of x successes in n trials is:
P = nCx* p%5Ex%2Aq%5E%28n-x%29 where p and q are the probabilities of success and failure respectively.
In this case p & q are = 1/2 or .5
nCx = n%21%2F%28x%21%28n-x%29%21%29
P(family/four children, will have 4 boys) = (.5)^4