HMMT November 2012 H7
- Theme
- Answer
The game of rock-scissors is played just like rock-paper-scissors, except that neither player is allowed to play paper. You play against a poorly-designed computer program that plays rock with probability and scissors with probability. If you play optimally against the computer, find the probability that after 8 games you have won at least 4 .
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{163}{256}
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