Question

Can someone check my answers for this free throw statistics question? "Jenny is a 60% free-throw shooter. She gets to shoot a second free throw if and only if she makes her first shot. She can score 0 points (if she misses her first shot), 1 point (she makes her first but misses her second), or 2 points (she makes both shots)."

Answer 1

Assuming that the probability for each shot is independent, what number of points is Jenny most likely to make? I said 2.

Answer 2

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)? I said 0.96