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Q.

There are three bags B1, B2and B3. The bag B1 contains 5 red and 5 green balls, B2 contains 3 red and 5 green balls, and B3 contains 5 red and 3 green balls. Bags B1, B2and B3  have probabilities 3/10, 3/10 and 4/10 respectively of being chosen. A bag is selected at random and a ball is chosen at random from the bag. Then which of the following options is/are incorrect?

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a

Probability that the selected bag is B3, and the chosen ball is green equals 3/10 

b

Probability that the chosen ball is green, given that the selected bag is B3, equals 3/8.

c

Probability that the chosen ball is green equals 39/80

d

Probability that the selected bag is B3, given that the chosen ball is green, equals 5/13.

answer is A, C.

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