There are 18 players on the roster of the Ludlow Wildcats ba

There are 18 players on the roster of the Ludlow Wildcats baseball team. Of the 18 players 8 are currently enrolled in college. The coach decides to name tri-captains and to select them at random. The names of the players are placed in an old baseball hat and three selected at random

A- What is the probability none of those selected are college students?

B- What is the probability of selecting one college student and two non-college students?

Solution

a)

8C0   / 18C3 = 0.00122549

b)

8C1 * 10C 2 / 18C3 = 8*45    / 816     =0.4412