A tennis player wins a match 55% of the time when she serves first and 47% of the time when her opponent serves first. The player who serves first is determined by a coin toss before the match. What is the probability that the player wins a given match?

Question

Mathematics

Joey Schneider

17 April, 23:28

A tennis player wins a match 55% of the time when she serves first and 47% of the time when her opponent serves first. The player who serves first is determined by a coin toss before the match. What is the probability that the player wins a given match?

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Budda · Answer 1

ok so she has a 50% chance of serving first so if she serves first she has a 55% percent chance of winning multiply. 55 and. 50 to get. 275 now she also has a 50% chance of not serving first so multiply. 47 and. 50 to get. 235 now that you have the two probabilities of her winning you add them together so. 275+.235 =.51 so she has a 51% chance of winning the game