Accept The Bet

There is a box in which distinct numbered balls have been kept. You have to pick two balls randomly from the lot.

If someone is offering you a 2 to 1 odds that the numbers will be relatively prime, for example
If the balls you picked had the numbers 6 and 13, you lose $1.
If the balls you picked had the numbers 5 and 25, you win $2.

Will you accept that bet?




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Two natural numbers have a sum of less than 100 and are greater than one.

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The following conversation takes place between them:
John: 'I am not aware of those numbers.'
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What are the two numbers?

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You are presented with a chance to change your box with the one that is left closed. Will you change your box? Why or why not?

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Amazing Facts

Artificial Intelligence

Artificial Intelligence has crushed all human records in the puzzle game “2048,” achieving a high score of 839,732 and beating the game in only 973 moves without using any undo.