- #1
TranscendArcu
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Homework Statement
The Attempt at a Solution
a) P(Pickwick has no umbrella | it rains) = [itex]\frac{\frac{1}{3}\frac{1}{3}}{\frac{1}{2}} = \frac{2}{9}[/itex], which is the answer according to my answer key.
b) For part b we have:
There is a rain forecast which means he will bring the umbrella. The probability that it won't rain is 1/3.
There is a non-rain forecast which means he brings the umbrella with a probability of 1/3 and it will not rain with a prob of 2/3.
P(Pickwick has umbrella | no rain) = [itex]\frac{1}{3} + \frac{1}{3}\frac{2}{3} = \frac{5}{9}[/itex]. But the answer is apparently 5/12. What have I done incorrectly here?