SOLUTION: Assuming that each child has the probability 0.5 being a boy. Find the probability that a family of 4 children has: a. exactly one boy b. 2 or 3 boys c. all girls and d. at l

Algebra ->  Probability-and-statistics -> SOLUTION: Assuming that each child has the probability 0.5 being a boy. Find the probability that a family of 4 children has: a. exactly one boy b. 2 or 3 boys c. all girls and d. at l      Log On


   



Question 641738: Assuming that each child has the probability 0.5 being a boy. Find the probability that a family of 4 children has:
a. exactly one boy
b. 2 or 3 boys
c. all girls and
d. at least one boy

Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
There are 2^4 or 16 outcomes of boys and girls, all the way from 4 girls to 4 boys.
a) P(only 1 boy) = 4/16 or 1/4
b) P(2 or 3 boys) = 6/16 + 4/16 = 10/16 = 5/8
c) P(all girls) = 1/16
d) P(at least 1 boy) = 15/16