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25 July, 14:44

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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  1. 25 July, 17:55
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    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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