HMMT 2004 C8
- Combinatorics
- Answer
Urn A contains 4 white balls and 2 red balls. Urn B contains 3 red balls and 3 black balls. An urn is randomly selected, and then a ball inside of that urn is removed. We then repeat the process of selecting an urn and drawing out a ball, without returning the first ball. What is the probability that the first ball drawn was red, given that the second ball drawn was black?
Dataset text NuminaMath olympiads. Quoted with source.
Also HMMT 2004 E9.
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\frac{7}{15}
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