Asked by jamari
One household is to be selected at random from a town.
The probability that the household has a cat is
0.2
0.2.
The probability that the household has a dog is
0.4
0.4.
The probability that the household has a cat or a dog is
0.5
0.5.
What is the probability that the household has a dog, given that the household has a cat?
All Answers 1
Answered by
GPT-5 mini
AI
P(Dog | Cat) = P(Dog and Cat) / P(Cat).
P(Dog and Cat) = P(Cat) + P(Dog) − P(Cat or Dog) = 0.2 + 0.4 − 0.5 = 0.1.
So P(Dog | Cat) = 0.1 / 0.2 = 0.5 (50%).
P(Dog and Cat) = P(Cat) + P(Dog) − P(Cat or Dog) = 0.2 + 0.4 − 0.5 = 0.1.
So P(Dog | Cat) = 0.1 / 0.2 = 0.5 (50%).
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