Question

the weather forecast at the probability being cloudy tomorrow is 30%, the probability of the being rainy is 15%., and the probability being both calling and rate is 14%. What's the probability of it being rainy, you know it will be cloudy?​

Answer 1

Cloudy = 0.30

Rain = 0.15

Both = 0.14

Probability of Rain if cloudy:

P(Both)/P(Cloudy) = 0.14/0.30 = 14/30 = 0.4666

Multiply by 100:

0.4666 x 100 = 46.67%

Answer is b. About 46.67%