(a)
To find: the probability that the team wins, loses and ties
(a)
Answer to Problem 29E
Theprobability that the teamwin is 0.00
The probability that the team loss is0.0199
The probability that the team tie is 0.9801
Explanation of Solution
Given:
It is given that after each touchdown, the coach decide to go for either 1 point with a kick (with 99% success rate) or 2 points with a run or pass (with
Calculation:
The team opts for 1 point after each touchdown, which implies that it has
Theprobability that the teamwin is 0.00
The probability that the team loss is0.0199
The probability that the team tie is 0.9801
Conclusion:
Therefore, theprobability that the teamwin is 0.00
The probability that the team loss is0.0199
The probability that the team tie is 0.9801
(b)
To find: the probability that the team wins, loses or ties
(b)
Answer to Problem 29E
Theprobability that the teamwin is 0.2025
Explanation of Solution
Calculation:
It is given that after each touchdown, the coach decide to go for either 1 point with a kick (with9 % success rate )or 2 points with a run or pass (with45 %success rate). It is given that theteam goes for 1 point after each touchdown.
The team opts for 2 point after each touchdown, which implies that it has20.25 %chance of winning.
The probability that the teamwin is 0.2025
Conclusion:
The probability that the teamwin is 0.2025
(c)
To develop: a strategy where the probability of winning the game is greater than the probability of losing
(c)
Answer to Problem 29E
The chance of winning is
Explanation of Solution
Calculation:
A possible strategy would be to go for 2 points in the first touchdown, and if it turns successful,opt for 1 point in the second touchdown. If this turns to be unsuccessful in the first round, go for2 points in the second touchdown.
The chance of winning is
Conclusion:
The chance of winning is
Chapter 10 Solutions
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