Question

Bag I contains 5 red and 4 white balls and bag II contains 3 red and 3 white balls Two balls are transferred from the bag I to the Bag ll and then one ball is drawn from bag ll lf the ball from the bag II is red then find the probability that one red ball and one white ball are transferred from the bag l to the bag II Select the correct answer from above options

Answer 1

Let A be the event ball from bag2 is red. B be the event that 1 red and 1 white ball were transferred from bag 1 to bag2. C be the event that 2 red balls were transferred from bag 1 to bag2. D be the event that 2 white balls were transferred from bag 1 to bag2. By Bayes theorem=>`P(B/A)=(P(A/B)P(B))/(P(A/B)P(B)+P(A/C)P(C)+P(A/D)P(D))` =>`(5)/(5+25/8+9/8)` =>answer=>`20/37`