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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?



Answer :

Fonsbeck

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

she has a 51% chance of winning the game

What is probability ?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

According to the question,

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

Hence, she has a 51% chance of winning the game

To learn more about probability from here

https://brainly.com/question/11234923

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