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arod20061
12.02.2020 •
Mathematics
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 (successful 99% of the time) or 2 points with a run or pass (successful 45% of the time). If the team goes for 1 point after each touchdown, what is the probability that the team wins? loses? ties? If the team goes for 2 points after each touchdown, what is the probability that the team wins? loses? ties? Develop a strategy so that the coach's team has a probability of winning the game that is greater than the probability of losing. Explain your strategy and calculate the probabilities of winning and losing the game.
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