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 drawn is from the bag A.

Answer 1

Consider R as the red ball, W as the white ball

A as the bag A and B as the bag B

Assume selecting bags is of equal probability = 1/2

Here we should determine

P (A/W) – the selected white ball is from bag A

Substituting the values

= 1/5

Hence, the probability of selected white ball is from bag A is 1/5.