HMMT 2008 U15
- Guts
- Answer
In a game show, Bob is faced with 7 doors, 2 of which hide prizes. After he chooses a door, the host opens three other doors, of which one is hiding a prize. Bob chooses to switch to another door. What is the probability that his new door is hiding a prize?
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{5}{21}
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