Question

A football team is losing by 14 points near the end of a game. The team scores two touchdowns (worth 6 points each) before the end of the game. After each touchdown, the coach must decide whether to go for 1 point with a kick (which is successful 99% of the time) or 2 points with a run or pass (which is successful 45% of the time). If the team goes for 1 point after each touchdown, what is the probability that the coach’s team wins? loses? ties? If the team goes for 2 points after each touchdown, what is the probability that the coach’s team wins? loses? ties? Can you develop a strategy so that the coach’s team has a probability of winning the game that is greater than the probability of losing

Answer 1

His football team is losing 14 points near the end of the game. The team scores two touchdowns with each worth 6 points (total = 12 points).

After each touchdown, the coach must decide whether to go for 1 point with each kick(99% successful) or 2 points with a run or pass(45% successful).

Note

Two touchdown = 12 points

So, it remaining 2 point to level up and more than 2 points to win the game

a.

If the team goes for 1 point after each touchdown, the probability that the coach's team loses? wins? ties? can be computed below