Question

Ten friends (6 boys and 4 girls) are going to the movies but can only afford 7 tickets. What is the probability of 5 boys and 2 girls getting the movie tickets?

a) 3/42
b) 15/42
c) 10/42
d) 21/42

Answer 1

The probability of 5 boys and 2 girls getting the movie tickets is 3/10.

Step-by-step explanation:

To find the probability of 5 boys and 2 girls getting the movie tickets, we need to calculate the number of ways this arrangement can happen and divide it by the total number of possible arrangements.

The total number of ways to choose 5 boys out of 6 is 6 choose 5 = 6. The total number of ways to choose 2 girls out of 4 is 4 choose 2 = 6.

The total number of ways to choose 7 tickets out of 10 is 10 choose 7 = 120.

Therefore, the probability of 5 boys and 2 girls getting the movie tickets is (6 * 6) / 120 = 36 / 120 = 3/10.