HMMT 2010 U16
- Guts
- Answer
Jessica has three marbles colored red, green, and blue. She randomly selects a non-empty subset of them (such that each subset is equally likely) and puts them in a bag. You then draw three marbles from the bag with replacement. The colors you see are red, blue, red. What is the probability that the only marbles in the bag are red and blue?
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{27}{35}
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