The weather forecast says that the probability of the being cloudy tomorrow is 30% and the probability of it raining is 25%. If it rains, the probability of being cloudy is 95%. What is the probability of it being rainy and cloudy?

your answer is c

Step-by-step explanation:

here is your work let me know  if you got it right

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Probability of the being cloudy tomorrow is P(A) = 30% = 0.3

Probability of raining is P(B) = 25% = 0.25

Given it rains, the probability of being cloudy is P(A|B) = 0.95

The probability of it being rainy and cloudy P(A⋂B).

Apply Bayes theorem:

=> P(A⋂B) =P(A|B) x P(B) = 0.95 x 0.25 = 0.2375 = 23.75%

=> Option C is correct

Hope this helps!

:)

the cat is blue because the probability of extension towards the prefix of the diameter of the circle could only mathematically equal to the sum of the roots of the carrots from   your garden.

step-by-step explanation: