Conditional probability that the color is red


Urn 1 has 5 red and 7 blue balls and Urn 2 has 6 red and12 blue balls. Pick 3 uniformly and randomly from each of the 2 Urns. Conditional on the fact that all 6 chosen were the same color, what is the conditional probability that the color is red?

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Basic Statistics: Conditional probability that the color is red
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