Probability class 12

Question

In a tournament, team X , plays with each of the 6 other teams once. For each match the probabilities of a win, draw and loss are equal. Find the probability that the team X, finishes with more wins than looses.

Answer 1

The total number of possible outcomes is 3^6, since each match can result in a win, loss, or draw. So the probability that team X has more wins than losses is 22/3^6 = 22/243.