Question

A bag A contains 1 white and 6 red balls. Another bag contains 4 white and 3 red balls. One of the bags is selected at random, and a ball is drawn from it, which is found to be white. Find the probability that the ball is drawn is from bag A. Select the correct answer from above options

Answer 1

Let R : Red ball W : White ball A : Bag A B : Bag B Assuming, selecting bags is of equal probability i.e. \(\frac{1}{2}\) We want to find P(A|W), i.e. the selected white ball is from bag A Conclusion: Therefore, the probability of selected white ball is from bag A is \(\frac{1}{5}\)