If A and B are two mutually exclusive events with P(A) = 0.5 and P(B) = 0.4, find the following probabilities: HINT : If A and B are two mutually exclusive events, then P( B| A) = 0. a) P(A and B) = b) P( A or B) = C) P(A) = d) P( B) = Remark: The bar on the top of the events represent the complement of the event.Suppose that A and B are two events for which P(A) = 0.27, P(B) = 0.73, and P(B| A) = 0.46 Find each of the following: A. P(A and B) = B. P(A or B) = C. P(A | B) = Note: Use up to 3 decimal places in your answers.1. Three heads. Answer: 2. Two heads and a tail. Answer: 3. At least one tail. Answer: 4. At least two heads