
Concept explainers
Monty Hall Problem When someone is first presented with the Monty Hall problem mentioned in Exercise 54, there is a tendency for that person to think that switching his or her choice of door does not make any difference. You can actually simulate the Monty Flail game using playing cards and show that a player is twice as likely to win by switching from the first choice. To do this you will need at least 2 people and 3 cards, say the ace of spades to represent the grand prize, and the 2 of hearts and the 2 of diamonds, which represent the other 2 prizes. Shuffle the cards and place them face down on the table. Choose 1 of the cards. The other player picks up the remaining 2 cards, removes 1 of the cards that is not the ace (it is possible that both cards will not be the ace. and places the other card face down on the table. Now you may either stay with your original selection or change to the remaining card. Perform this experiment 30 times staying with your original selection and 30 times switching to the other card. Keep a record of how many times staying with your original selection resulted in selecting the ace and how many times switching cards resulted in choosing the ace. On the basis of your results, is staying or switching the better strategy?

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Chapter 12 Solutions
Mathematical Excursions (MindTap Course List)
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