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There are two bags I and II. Bag I contains 3 white and 4 black balls, and bag II contains 5 white and 6 black balls.

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There are two bags I and II. Bag I contains 3 white and 4 black balls, and bag II contains 5 white and 6 black balls. One ball is drawn at random from one of the bags and is found to be white. Find the probability that it was drawn from bag I. Select the correct answer from above options

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Consider W as the white ball, B as the black ball X as the first bag and Y as the second bag Assume selecting bags is of equal probability = 1/2 Here we should determine P (X/W) – Probability of selected white ball is from the first bag Substituting the values So we get = 33/68 Hence, the probability of selected white ball is from the first bag is 33/68.

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