Monty Hall's Revenge

by Philip Newman

You are once again a contestant on a game show. This time, however, you are presented with 100 bags.

"These bags," the host explains, "each contain a different amount of money. I'll let you open a bag, and then you may decide to pick that bag, or choose another one. Once you have passed up a bag, you may not go back to it. You may keep the money in the bag you choose. If, however, you manage to choose the bag with the most money, you will also win this!"

You watch, along with the rest of the crowd, as a door opens revealing the car of your dreams (a 1981 Chrysler Station Wagon).

What strategy should you take to give yourself the best chance of winning the car?

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