4) One bag contains 4 white and 5 black balls. Another bad contains 6 white and 7 black balls. A ball is transferred from the first bag to the second bag. The probability that the ball drawn is white is :
Prob. of white ball being transferred = 4/9
Prob. of black ball being transferred = 5/9
Prob. of white ball drawn from 2nd bag -:::---->
Case 1 white transferred:
7 white 7 black so 1/2
Case 2 black transferred :
6 white 8 black so 6/14 = 3/7
Total prob = (4/9) (1/2) + (5/9)( 3/7)
= 2/9 + 5/21 = 14 + 15 / 63
= 29/63