Problema Solution
Asha is one among 7 badminton players. What is the probability that a team of 5 players is formed. 1) with Asha as a player.2) without Asha in the team
Answer provided by our tutors
The probability that Aisha is in the team:
P(Asha is in the team) = C(6, 4)/C(7, 5)
C(7, 5) is the total number of possible teams
C(6, 4) is the total number of teams where Asha is part of the team
C(7, 5) = 7!/(5!(7 - 5)!)
C(7, 5) = 6*7/2
C(7, 5) = 21
C(6, 4) = 6!/(4!(6 - 4)!)
C(6, 4) = 5*6/2
C(6, 4) = 15
P(Asha is in the team) = 15/21
P(Asha is in the team) = 5/7
P(Asha is in the team) = 0.7143 or 71.43%
P(Asha is in not in the team) = 1 - P(Asha is in the team)
P(Asha is in not in the team) = 1 - 5/7
P(Asha is in not in the team) = 2/7
P(Asha is in not in the team) = 0.2857 or 28.57%