Question
the Beloit Bucs score a touchdown against the your univesity Flames. Before the extra point, the Bucs must put players on the field before the
the Beloit Bucs score a touchdown against the your univesity Flames. Before the extra point, the Bucs must put players on the field before the flames. The Bucs can either play their offense (O), in which case they have to go for two, or their special teams unit (S). In response, the Flames can either play their defense (D) or special teams (S). If the Bucs put their offense out, they must go for two and have a 40% chance of beating the Offense and a 95% chance of beating the special teams unit. If the Bucs play their special teams unit, they can either kick the ball, which will earn them 1 point if the kick is successfull or Fake and attempt a 2 point conversion. The kick will always be successful if the Flames play their defense and has a 95% chance of being successful against the Flames special teams unit. The Bucs want to maximize their expected number of points; the Flames want to minimize the Bucs' expected points. The fake field goal has a 5% chance of being successful against the Flames' defense and a 25% chance of being successful against the Flames' defense. If all players are being rational, what will happen ?
( ) Bucs play their offense, Flames play their defense | ||
( ) Bucs play their offense, Flames play their special teams | ||
( ) | Bucs play their special teams, Flames play their offense, Bucs attempt a field goal | |
( ) Bucs play their special teams, Flames play their offense, Bucs fake a field goal and go for 2. | ||
( ) Bucs play their special teams, Flames play their defense, Bucs attempt a field goal | ||
( ) | Bucs play their special teams, Flames play their offense, Bucs fake a field goal and go for 2. |
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