Imagine that 30% of all U. S. Households own a dog, P (A) =.3 and that 10% of U. S. households own a Honda vehicle, P (B) =.1. In addition, you know that 60% of dog owners own a Honda, P (A|B) =.6. What is the probability of a household owning a Honda given that they are a dog owner?

Question

Asia Hancock

29 January, 22:17

+5

Answers (1)

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Malachi Leach · Answer 1

P (A|B) = P (B and A) / P (A)

P (B and A) =.3 +.10 =.13 P (A) =.3

So,

P (A|B) =.13/.3

P (A|B) = 0.43333 ...