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Bayes' Theorem
4. Probability / Bayes' Theorem / Problem 4
Problem 4

Bag L contains 4 red and 6 blue marbles; Bag R contains 5 red and 15 blue marbles. A bag is selected with P(L)=2/3 and P(R)=1/3. A drawn marble is red. What is the exact probability it came from Bag L (simplified fraction)?