HMMT November 2019 U2
- Guts
- Answer
You are trying to cross a 6 foot wide river. You can jump at most 4 feet, but you have one stone you can throw into the river; after it is placed, you may jump to that stone and, if possible, from there to the other side of the river. However, you are not very accurate and the stone ends up landing uniformly at random in the river. What is the probability that you can get across?
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{1}{3}
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