Atennis 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?

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