Favorite intro prob game: You & I both pick length-3 sequences of H/T. Then we flip a coin and whoever’s seq comes first wins. All seqs are equally likely so we both have 50% chance to win, right? NOPE. If you pick first, I can pick seqs ensuring I’m 2x-7x more likely to win!
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Go on...
The easiest case to think about is if you pick HHH. Then I pick THH & the only way for you to win is if we get HHH right off the bat: As soon as we get T, I’ve def won since the only way for you to win is to get 3 H, but by then I’ve already got my THH. https://en.m.wikipedia.org/wiki/Penney%27s_game …
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I love how this fellow's name was Penney
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This game is the exact reason I carry around a coin with two heads. I don’t want to fall prey to chance
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Nice! Of course.
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