$($a$)$

Assume Temple will score two touchdowns and Killeen will not score. Define the set of states to include states representing the score differential as well as states for the final outcome of the game $($Win or Lose$).$ Create a tree diagram for the situation in which Temple's coach attempts a $2-$point conversion after the first touchdown. If the $2-$point conversion is successful, Temple will go for $1$ point after the second touchdown to win the game. If the $2-$point conversion is unsuccessful, Temple will go for $2$ points after the second touchdown in an attempt to tie the game and go to overtime. $($Submit a file with a maximum size of $1$ MB$.)$