Let a Be the Event That a Flight from New

Multiple Choice

Let A be the event that a flight from New York to San Francisco arrives on time and let B be the event that it is a clear day in San Francisco. Suppose the probability of a clear day is P(B) = 0.6 and the probability a plane arrives on time is P(A) = 0.7. We also know that the probability a plane arrives on time on a cloudy day is P(A | B^C) = 0.5. The probability a plane arrives on time and it is a cloudy day is:

A) 0.6.
B) 0.5.
C) 0.2.
D) 0.42.