The odds are 7 to 1 that, when Anna and Bill play table tennis, Anna wins. Suppose that Anna and Bill play two matches. The experiment consists of observing the winner for each of two matches. Let A denote the event that player Anna wins the match, let B denote that player Bill wins. Denote A to be the complement of event A and B" to be the complement of event B. Let A A denote the event that Anna wins the first match and second. Let AB denote the event that Anna wins the first match and Bill wins the second, etc. The sample space for the experiment consists of: AA, AB, BA and BB. OA and B OAA and AB OA and B are OAA and AB are (a) Which of the following statements is are mutually true? independent are mutually exclusive independent exclusive events. events. events. events. What is the probability that Anna wins (b) at least one match? Write your answer to 3 decimal places