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# What will your questioning strategy be?

Smith and Jones each secretly write down a number between 1 and 100. The object of the game is to guess the other player’s number first. Questions may be asked concerning the opponent’s number provided that they can be answered truthfully by a YES or a NO. A player is allowed to continue asking questions so long as he receives YES answers. The first NO answer transfers the role of questioner to the opponent. The conservative “Twenty Questions” strategy of questioning in such a manner as to most nearly equalize the chances of YES and NO answers is most effective in that particular game. Using it, you can, in only 20 questions, invariably pinpoint any number in the range of 1 to 500,000. But in the game outlined above, this may not be the best way to proceed. Suppose you are the first player. What will your questioning strategy be, and how much of an advantage do you feel you have over your opponent?

## What are the people taking?

A steady stream of people enter Mike’s place of business and remove its treasured belongings. The people do not pay for what they take. Mike allows them to take as much as they can carry as long as they keep their mouths shut. What are the people taking and which type...

## How many kids?

Sometimes it helps to be bigger--especially when you're only four or five years old. The children were making candy apples for the Halloween party, eating as they worked. The bigger kids managed to gobble up seven apples apiece (and got stomachaches for their pains),...