During last year's NBA Playoffs, an announcer complained that a player had just fouled James Hardin on a 3-point shot. The announcer
pointed out that Hardin hits 87% of his free throws and 37% of his 3-point shots. He went on to say that you should just let him shoot the
3-point shot and NOT foul because you are just giving him an additional one and a half points on each attempted 3-pointer.
Determine the actual number of points that a player is giving James Hardin on each attempted 3-pointer if he is fouled.
Show your computations. Was the announcer correct?
NOTE: If a player makes a three point shot, his team is awarded 3 points.
If a player is fouled on a 3-pointer and he misses the shot, then he is awarded three free throws (and each free throw
counts one point if he makes it).