HMMT 2025 U26
- Guts
- Answer
Isabella has a bag with 20 blue diamonds and 25 purple diamonds. She repeats the following process 44 times: she removes a diamond from the bag uniformly at random, then puts one blue diamond and one purple diamond into the bag. Compute the expected number of blue diamonds in the bag after all 44 repetitions.
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{173}{4}
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