The blog Agoraphilia came up with this puzzle:
Using only a coin, how can you generate a probability equal to exactly one-third?
Here’s more context, if you feel the need for it:
Suppose you want to vacation at the beach, mountains, or desert. You want to choose your destination randomly, with equal chances for all three outcomes. Your only randomization device is a coin. What should you do?
Lauren and I talked about this for a while last night. I came up with some simple-minded ideas, but she came up with The Answer (or at least the most "elegant" Answer). Apparently recognizing infinite series isn't in my skill set. I'll live, I guess.
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