Probability Question Three

Question

1. Use a tree diagram to illustrate the possible outcomes for a couple having 4 children, assuming that the probability of having a boy equals the probability of having a girl. What is the probability that the family will have all 4 boys or all 4 girls?

Answer 1

Probability of a boy or girl is assume to be 1/2 (equal).

Probability of all 4 boys is (1/2)**4 = 1/16

Probability of all 4 girls is (1/2)**4 = 1/16

Probability of either all 4 boys or all 4 girls is 1/16 + 1/16 = 2/16 = 1/8