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Australian AMC 2011 - Senior Question 20

AMC AUSTRALIA · Australian AMC 2011 - Senior

Question 20

In a best of five sets tennis match (where the first player to win three sets wins the match), Chris has a probability of $\frac23$ of winning each set. What is the probability of him winning this particular match?
  1. $\frac23$
  2. $\frac{190}{243}$
  3. $\frac89$
  4. $\frac{19}{27}$
  5. $\frac{64}{81}$