Question

in college basketball games, a player may be afforded the opportunity to shoot two consecutive foul shots (free throws). a. suppose a player who makes (i.e., scores on) 80% of his foul shots has been awarded two free throws. if the two throws are considered independent, what is the probability that the player makes both shots? exactly one? neither shot?

Answer 1

Both shots good: .8(.8) = .64 = 64%

Exactly one shot good: 2(.2)(.8) = .32 = 32%

Neither shot good: .2(.2) = .04 = 4%