Link to task: Conditional Probability
Suppose a family has 2 children, one of which is a boy. What is the probability that both children are boys?
Out of 2 children, one is boy, therefore we will not include (g, g) in our sample space.
- Sample space (Ω):
{(b, b), (b, g), (g, b)} - Event A := "Both are boys":
{(b, b)} - P(A):
|A| / |Ω|=1/3
Probability that both children are boys is 1/3