John and Peter are among the eight players a basketball coach can choose from to field a five-player team. If all five players are chosen at random, what is the probability of choosing a team that includes John and Peter? Choices
A) 2/5
B) 2/7
C) 2/9
D) 5/14
E) 8/21
The total possible ways of selecting a 5-member team is 8C5 = 56   The possible ways which include John and Peter is 6C3 = 20   The probability of choosing both John and Peter is 20/56 = 5/14   The answer is 5/14.
<result>D</result>
John and Peter are among the eight players a basketball coach can choose from to field a five-player team. If all five players are chosen at random, what is the probability of choosing a team that includes John and Peter?