In women’s tennis, a player must win 2 out of 3 sets to win a match. If a player wins the first 2 sets, she wins the match and the third set is not played. Player V and Player M will compete in a match. Player V and Player M have competed against each other many times. Historical data show that each player is equally likely to win the first set. If Player V wins the first set, the probability that she will win the second set is 0.60. If Player V loses the first set, the probability that she will lose the second set is 0.70. If Player V wins exactly one of the first two sets, the probability that she will win the third set is 0.45. What is the expected number of sets played when Player V competes in a match with Player M?
In women’s tennis, a player must win 2 out of 3 sets to win a match. If a player wins the first 2 sets, she wins the
match and the third set is not played. Player V and Player M will compete in a match.
Player V and Player M have competed against each other many times. Historical data show that each player is
equally likely to win the first set. If Player V wins the first set, the probability that she will win the second set
is 0.60. If Player V loses the first set, the probability that she will lose the second set is 0.70. If Player V wins
exactly one of the first two sets, the probability that she will win the third set is 0.45.
What is the expected number of sets played when Player V competes in a match with Player M?
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