HMMT November 2017 U21
- Guts
- Answer
A box contains three balls, each of a different color. Every minute, Randall randomly draws a ball from the box, notes its color, and then returns it to the box. Consider the following two conditions: (1) Some ball has been drawn at least three times (not necessarily consecutively). (2) Every ball has been drawn at least once.
What is the probability that condition (1) is met before condition (2)?
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{13}{27}
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