AP and TS EAMCET Engineering Model Paper 19

Let U1,U2,U3 be three urns. U1 contains 2 white and 3 black balls, U2 contains 3 white and 2 black balls and U3 contains 4 white and 1 black ball. There is an equal probability of each urn being selected. An urn is chosen at random and a ball is drawn from it. The probability that the ball drawn is white is