in a tennis match the probability for A to win the match is 2/3 and he has to win 3 sets to win the match so what is the probability for A to win the match  Pick.
A) 182/243 B) 172/243 C) 162/243 D) 192/243 E) 292/243
The sequence of winning as follows:   Sequence Probability   ----------------- -----------   W W L W 8/81   W W L L W 8/243   W W W 8/27   W L L W W 8/243   W L W L W 8/243   W L W W 8/81   L L W W W 8/243   L W L W W 8/243   L W W L W 8/243   L W W W 8/81   Thus, by adding all the above probabilities, we get the probability for A to win the match as : 192/243   ANSWER:192/243
<result>D</result>
in a tennis match the probability for A to win the match is 2/3 and he has to win 3 sets to win the match so what is the probability for A to win the match