First, represent the information on a tree diagram: From the tree diagram, the probability of winning the second set = \(\frac{27}{50} + \frac{10}{50} = \frac {37}{50}\). This means that in every ...

The probability that a tennis player wins the first set of a match is \(\frac{3}{5}\). If she wins the first set, the probability that she wins the second set is \(\frac{9}{10}\). If she loses the ...