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Question
Team A plays with 5 other teams exactly once. Assuming that for each match the probabilities of a win, draw and loss are equal, then
Options:
A .  The probability that A wins and loses equal number of matches is 3481
B .  The probability that A wins and loses equal number of matches is 1781
C .  The probability that A wins more number of matches than it loses is 1781
D .  The probability that A loses more number of matches than it wins is 1681
Answer: Option B
:
B
Probability of equal number of W and L is the probability of following
(0)W,(0)L +(1)W,(1)L+(2)W, (2)L
=(13)5+5C1.4C1(13)5+5C2.3C2(13)5=1781

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