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JEE Advanced Mathematics question

MathematicsProbabilityJEE Advanced

There are 4 white and 3 black balls in a box. In another box there are 3 white and 4 black balls. An unbiased dice is rolled. If it shows a number less than or equal to 3 then a ball is drawn from the first box but if it shows a number more than 3 then a ball is drawn from the second box. If the ball drawn is black then the probability that the ball was drawn from the first box is

Answer: (D)

Solution

Let and be the events that the ball is drawn from box 1 and box 2. Then and . Also \mid$

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Question ID VK-109784