MHT CET 2026 Mathematics question

MathematicsProbabilityMHT CET 2026

Bag A contains 3 white and 5 black balls while bag B contains 4 white and 3 black balls- A ball is selected at random from bag A and put in bag B- If a ball is now selected at random from bag B then the probability that this ball is white ball is....

Answer: (C)

Solution

Use the theorem of total probability over the colour of the ball moved from A to B. Case 1: a white ball moves, with probability . Bag B then has 5 white and 3 black balls (8 in all), so . Contribution: . Case 2: a black ball moves, with probability

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Question ID VK-100908