What is the probability that you will be chosen if a 3 person team is selected at random?

Question

Suppose you are on a chess team made up of 15 players.

Answer 1

The # of ways of choosing a 3 person team, from 15 possible players, is 15C3.

 

If you are to be chosen along with two random others, that's 1•14C2 possible ways for that event.

 

P(you're on the 3 person team) = 14C2  ÷ 15C3.  You may calculate this yourself.