Answer:
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(Aâ‹‚B).
Apply Bayes theorem:
=> P(Aâ‹‚B) =P(A|B) x P(B) = 0.95 x 0.25 = 0.2375 = 23.75%
=> Option C is correct
Hope this helps!
:)
