Problem:
There are three identical boxes. There are 2 white and 2 black balls in the \( 1^{\text {st }} \) box; there are 3 black balls in the \( 2^{\text {nd }} \) box and 1 black and 5 white balls in the \( 3^{\text {rd }} \) box. Someone, randomly choosing a box, takes out a random ball. What is the probability that the ball will be white?