The probability of choosing 2 pitcher and one infielder out of the total number of player can be obtained as follows:
We need to slect two pitchers and one infielder out of 10 pitchers and 6 infielders, the number of ways we can do this is:
[tex](_{10}C_2)(_6C_1)=270[/tex]Out of the 25 players if we choose 3 we can do this in the following number of possibilities:
[tex]_{25}C_3=2300[/tex]Then the probability is:
[tex]P=\frac{270}{2300}=\frac{27}{230}[/tex]Therefore, the probability of choosing 2 pitchers and one infielder is 27/230.
