17. Suppose that P(A).4 and P(A B).12.

a. Find P(BA) .

b. Are events A and B mutually exclusive?

c. If P(B).3, are events A and B independent?

Dice An experiment consists of tossing a single die and observing the number of dots that show on the upper face.

Use events A, B, and C, defined as follows, to answer the questions in Exercises 18–20.

A: Observe a number less than 4 B: Observe a number less than or equal to 2 C: Observe a number greater than 3