Question

10 friends (6 boys and 4 girls) decided to go to the movies. They only have enough money to buy 7 tickets.

What is the probability that 5 boys and 2 girls get the movie tickets?

Answer 1

0.3

Explanation:

The number of ways to choose 5 boys from 6 is ₆C₅.

The number of ways to choose 2 girls from 4 is ₄C₂.

The number of ways to choose 7 people from 10 is ₁₀C₇.

P = ₆C₅ ₄C₂ / ₁₀C₇

P = 6 × 6 / 120

P = 0.3