Penney's Bar
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HOW TO PLAY
Penney's Game is a coin-flip game with a surprising twist. Here's how it works:
1. Choose your sequence. Pick any 3-flip pattern using Heads (H) or Tails (T). For example: HHT, THT, or TTT.
2. The machine picks after you. Bot-7 sees your choice and selects his own 3-flip sequence. He uses a clever strategy—so don't expect a fair fight!
3. Flip the coins. Coins are flipped one by one. Whoever's pattern appears first in the sequence wins. For example, if you picked HHT and the flips go T, H, H, T—you lose, because HHT never appeared; but HHT would appear in T, H, H, T, T, H, H, T (the last three are HHT).
4. Best out of 10. Each round plays 10 games with the same sequences. The score updates live as each game finishes. First to 6 wins the series!
Talk to the bartender above to start playing. Good luck!
WRITEUP PAPER
Four options that weaken the bot
There are some options where you weaken the bot's chances of being over 50% — for example: HHT, HTT, THH, TTH. See the writeup below for the best two sequences.
Read the full paper to see your best chance at winning — there are actually two best sequences.
↑ Scroll up to talk to the bartender and play