HMMT 2020 C10
- Combinatorics
- Answer
Max repeatedly throws a fair coin in a hurricane. For each throw, there is a chance that the coin gets blown away. He records the number of heads and the number of tails before the coin is lost. (If the coin is blown away on a toss, no result is recorded for that toss.) What is the expected value of ?
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{24}{7}
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