Concept explainers
a)
To find:
The probability of winning by using the strategy.
Answer to Problem 1P
Solution:
The probability of winning by using the strategy is
Explanation of Solution
Approach:
The formula of probability of an event is given by,
Here,
Calculation:
The game was played 30 times so possible chances of winning is 30.
The number of times person won is
Substitute
Conclusion:
Hence, the probability of winning by using the strategy is
b)
To find:
The probability of winning by using the switching strategy.
Answer to Problem 1P
Solution:
The probability of winning by using the switching strategy is
Explanation of Solution
Approach:
The formula of probability of an event is given by,
Here,
The formula for the complement of
Calculation:
From part
If the contestant decides to switch, she will switch to the winning door if she had initially chosen a losing one and vice-versa.
Substitute
Conclusion:
Hence, the probability of winning by using the switching strategy is
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Algebra and Trigonometry (MindTap Course List)
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