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GATE | GATE-CS-2015 (Mock Test) | Question 17
Consider a 3 game tournament between two teams. Assume that every game results in either a win or loss. The team that wins two or more games wins the series. The probability for wining the first game for both teams is 1/2. The probability for a team to win a game after a win is 2/3. The probability of wining a game after a loss is 1/3. Note that the effect of only previous game is considered. What is the probability for a team to win the series after loosing first game.
(A)
1/9
(B)
1/6
(C)
2/9
(D)
1/3
Answer
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