HMMT 2003 C7
- Combinatorics
- Answer
You have infinitely many boxes, and you randomly put 3 balls into them. The boxes are labeled . Each ball has probability of being put into box . The balls are placed independently of each other. What is the probability that some box will contain at least 2 balls?
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{5}{7}
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