Question

Q13. A bag contains 4 white and black balls. Another Bag contains 9 white
and 7 black balls. A ball is transferred from first bag to the second and
then a ball is drawn at random from second bag, Find the probability that
ball drawn is white,​

Answer 1

A= Event that white ball transferred

B= Event that black ball transferred

C= Event that ball drawn from secondary bag is white

⇒P ( ball drawn is white ) =P ( white ball transferred ) P ( Ball drawn white ) +P ( black ball transferred ) ×P ( ball drawn white )

=4/9 x 7 / 14 + 5/9 × 6/14

= 28+30/126

= 58/126

Hence, the answer is 58/126

.