multiple choice Assuming that the probability for each shot

multiple choice

Assuming that the probability for each shot is independent, how many points, on average, can jenny expect to make when she shoots a one-and-one ( when she only gets a second shot if she makes the first)?

A. .96

B. 1

C. 2

D. .36

E. 0

Solution

Average = 1 × P( she makes the first shot but misses the second shot) + 2× P( she makes both the shots)

Average = 1× 0.6 × 0.4 + 2× 0.6 × 0.6 = 0.96