A List the 8 possible 3-child families according to the gender of the children
MATHEMATICS · Multi-part · AP · AP Statistics · Probability Random Variables Distributions · Probability Random Variables Distributions
Problem
1. a List the 8 possible 3-child families according to the gender of the children. For example, GGB means “*the first is a girl, the second is a girl, the third is a boy*”.
2. b Assuming that each of these is equally likely to occur, determine the probability that a randomly selected 3-child family consists of:
- i all boys
- ii all girls
- iii boy then girl then girl
- iv two girls and a boy
- v a girl for the eldest
- vi at least one boy.
(a) List the 8 possible 3-child families according to the gender of the children. For example, GGB means “*the first is a girl, the second is a girl, the third is a boy*”.
(b) Assuming that each of these is equally likely to occur, determine the probability that a randomly selected 3-child family consists of:
- i all boys
- ii all girls
- iii boy then girl then girl
- iv two girls and a boy
- v a girl for the eldest
- vi at least one boy.