Bag A contains 2 white, 1 black and 3 red balls and bag B contains 3 black, 2 red and n white balls. One bag is chosen at random and 2 balls drawn from it at random are found to be 1 red and 1 black. If the probability that both balls come from Bag A is \(\frac{6}{11},\) then n is equal to_______.

[JEE Main 2022, 24 Jun (Shift 1)]

Question

Bag A contains 2 white, 1 black and 3 red balls and bag B contains 3 black, 2 red and n white balls. One bag is chosen at random and 2 balls drawn from it at random are found to be 1 red and 1 black. If the probability that both balls come from Bag A is \(\frac{6}{11},\) then n is equal to_______.

[JEE Main 2022, 24 Jun (Shift 1)]

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