A bag contains 3 white balls and 2 black balls. Another bag contains 2 white and 4 black balls. A ba

A bag contains 3 white balls and 2 black balls. Another bag contains 2 white and 4 black balls. A bag and a ball are picked random. Then probability of that the ball will be white is:

Probability that you pick any bag is 0.5.

Bag 1 White Ball = 0.5(3/5) = 3/10 = 0.3
Bag 2 White Ball = 0.5(2/6) = 1/6 = 0.16667

Add them both:
0.3 + 0.16667 = 0.46667