Five team of equal strength play against each other in a tournament and each match either ends in a win or loss for a team. Find the probability that no team win all its games or loss all its game.
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
Sol. P(there is a team winning all its matches) = P(A) = 5 C 1 . 
P(there is a team losing all its matches) = P(B) = 5 C 1 . 
P(a team is winning all its matches and other
team is losing all its matches) = P(A ∩ B) = 2 . 5 C 2 . 
. 
P(No team is winning all its matches or lossing all its matches)
= 1 – P(A ∩ B) = 1 – 
= 
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