The Prime Bet
Let’s say you sit in a pub, minding your own business, when all of a sudden a stranger walks up to you and offers you a bet:
We’ll choose two positive integers at random. If they have any divisor in common (other than \(1\)) I’ll pay you a dollar, else you’ll pay me a dollar. Are you in?
Apart from the question what kind of establishments you frequent, you should be wondering: is this a good bet for you?
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