Need help with 36 For a 3child family find the probability o

For a 3-child family, find the probability of exactly 2 girls. given that the first child is a girl. For a 3-child family, find the probability of exactly 1 girl, given that the first child is a boy...

Solution

36)

a)

P(second is queen) = P(1st is Q) P(second is Q|1st is Q) + P(1st is not Q) P(second is Q|1st is not Q)

= (4/52)*(3/51) + (48/52)*(4/51)

= 0.076923077 [answer]

***************I

b)

P(first is R and second is H) = P(first is R but not H) P(second is H|first is R but not H) + P(first is R and H) P(second is H|first is R and H)

= (13/52)*(13/51) + (13/52)*(12/51)

= 0.12254902 [answer]