Question

On rainy weekend days, the probability that Karen bakes bread is

90%. On the weekend, the probability of rain is 50%. There is a 29%
chance that today is a weekend day. What is the probability that today
is a rainy weekend day in which Karen is baking bread?

Answer 1

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Answer:

13%

Explanation:

The probability is the product of the individual probabilities.

p(baking | rainy weekend) = 0.90

p(rainy weekend) = p(rain | weekend) × p(weekend) = 0.50×0.29 = 0.145

Then ...

p(baking) = p(baking | rainy weekend) × p(rainy weekend) =

0.90 × 0.145 = 0.1305 ≈ 13%