meredith48034
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the weather forecast says the probability of it being cloudy tomorrow is 30%, the probability of it being rainy is 15%, and the probability of being cloudy and rainy is 14%. what is the probability of it being cloudy, if you it will be rainy?
a. about 21.43%
b. 46.67%
c. 4.5%
d. 93.3%​

Respuesta :

mathmate

Step-by-step explanation:

This is a problem of conditional probability.

Let events

C=cloudy, P(C) = 0.30

R=rainy., P(R) = 0.15

C&R=cloudy and rainy, P(C&R) = 0.14

We are asked the probability of being cloudy given that it will be rainy

P(C|R) = P(C&R)/P(R) = 0.14/0.15 = 14/15 = 0.933 (to the thousandth)

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