Probability that a 3-person committee from 5 men and 5 women has at least one woman?

Probability that a 3-person committee from 5 men and 5 women has at least one woman?

Approach: 1 - P(all men).

11/12. 1 - (5C3 / 10C3) = 1 - (10/120) = 11/12.

Follow-up: What is the probability of exactly 2 women?

Key concepts: complementary counting.