65. (This problem assumes knowledge of the basic rulesof basketball.) One controversial topic in basketball(college or any other level) is whether to foul a playerdeliberately with only a few seconds left in the game.Consider the following scenario. With about 10 seconds left in the game, team A is ahead of team B bythree points, and team B is just about to inbound theball. Assume team A has committed enough fouls sothat future fouls result in team B going to thefree-throw line. If team A purposely commits a foulas soon as possible, team B will shoot two foul shots(a point apiece). The thinking is that this is better thanletting team B shoot a three-point shot, which wouldbe their best way to tie the game and send it into overtime. However, there is a downside to fouling. Team Bcould make the first free throw, purposely miss thesecond, get the rebound, and score a two-point shotto tie the game, or it even score a three-point shot towin the game. Examine this decision, using reasonableinput parameters. It doesn’t appear that this deliberatefouling strategy is used very often, but do you think itshould be used?
65. (This problem assumes knowledge of the basic rules
of basketball.) One controversial topic in basketball
(college or any other level) is whether to foul a player
deliberately with only a few seconds left in the game.
Consider the following scenario. With about 10 seconds left in the game, team A is ahead of team B by
three points, and team B is just about to inbound the
ball. Assume team A has committed enough fouls so
that future fouls result in team B going to thefree-throw line. If team A purposely commits a foul
as soon as possible, team B will shoot two foul shots
(a point apiece). The thinking is that this is better than
letting team B shoot a three-point shot, which would
be their best way to tie the game and send it into overtime. However, there is a downside to fouling. Team B
could make the first free throw, purposely miss the
second, get the rebound, and score a two-point shot
to tie the game, or it even score a three-point shot to
win the game. Examine this decision, using reasonable
input parameters. It doesn’t appear that this deliberate
fouling strategy is used very often, but do you think it
should be used?
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