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In a recent home search, \frac{1}{5}1 5 of the homes had a pool, \frac{2}{5}2 5 had a garage and \frac{9}{50}9 50 had both. What is the probability that a house had a pool given it had a garage? Group of answer choices

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ukshedrack

Answer:

0.45

Step-by-step explanation:

Let  P(P) = probability of homes with a pool

P(P) = 1/5 = 0.20

Let  P(G) = probability of homes with a garage

P(G) = 2/5 = 0.40

Let P(P & G) = probability of homes with both pool and garage

P(P & G) = 9/50 = 0.18

Let  P(P | G) = probability that a house has a pool given it has a garage

P(P | G) = P(P & G) / P(G)

P(P | G) = 0.18 / 0.40 = 0.45

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