A basketball coach will select the members of a five-player team from among 15 players, including John and Peter. If the five players are chosen at random, what is the probability that the coach chooses a team that includes both John and Peter? Choose the correct option:
A) 1/9
B) 1/6
C) 2/21
D) 5/18
E) 1/3
straight forward way is to group J and P as always present on the team and as order does not matter so we just need to find the total number of ways to select rest three players = 13c3   total number of ways of selecting 5 players out of 15 = 15c5   probability = 13c3/15c5 = 2/21   2/21
<result>C</result>
A basketball coach will select the members of a five-player team from among 15 players, including John and Peter. If the five players are chosen at random, what is the probability that the coach chooses a team that includes both John and Peter?