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Puzzle of the Month

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Two Pots

Tuesday 1st November 2022

Two Pots

Randomly pick two different balls from the same pot then add the numbers on those balls together. The probability that this sum is odd is the same no matter which of the two pots you choose.

The puzzle is to figure out why this is true despite the fact that the green pot has an extra even number in it. Would it be the same if there were only eight balls in the pot?

Solutions to the Puzzle of the Month are available to subscribers only.

For many more mathematical puzzles visit the Transum Puzzles page.

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