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

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