Swapping Between Bags

Difficulty: Medium · Topics: Probability, Probability, Independent Events

Bag A holds 3 white and 3 black balls; bag B holds 2 white and 3 black balls. One ball is drawn from each bag at the same time, and without looking, the ball from A is put into B and the ball from B into A.

What is the probability that both bags end up with the same colours as at the start?