A couple plans on having three children Suppose that the pro

A couple plans on having three children. Suppose that the probability of any given child being female is 0.5, and also suppose that the gender of each child are independent events.

POSSIBLE OUTCOME: { BBB BBG BGB GBB BGG GBG GGB GGG}

A) what should be the probability associated with each outcome.

B) using the outcomes above, find the probability that the couple will have three boys.

C) using the outcomes above find the probability that the couple will have at least 2 girls.

Solution

A)

P( Each outcome ) = 1/8 = 0.125

B)
P(Couple have 3 Boys) = { BBB } / { BBB BBG BGB GBB BGG GBG GGB GGG} = 1/8 = 0.125

C)
P(couple will have at least 2 girls) = { BGG GBG GGB GGG } / { BBB BBG BGB GBB BGG GBG GGB GGG} = 4/8 = 1/2 = 0.5