Question

A collega's baseball roster consists of 12 pitchers, 3 catchers, 5infielders, and 6 outfielders. If the team manager randomly selects 9 players, what is the probability that he selects 1 pitcher, 1 catcher, 4 infielders, and 3 outfielders?

The probability is Type an integer or a simplified fraction)

Answer 1

0.0011521

Explanation:

Recall :

Probability = required outcome / Total possible outcomes

Total number of players = (12 + 3 + 5 + 6) = 26

Total players to be selected

Total possible outcomes : 26C9

Required outcome :

1 pitcher = 12C1

1 catcher = 3C1

4 infielders = 5C4

3 outfielders = 6C3

(12C1 * 3C1 * 5C4 * 6C3) / 26C9

Using calculator for. Combination :

(12 * 3 * 5 * 20) / 3124550

= 0.0011521