Question

33. A bag contains 5 white and 7 black balls. Another bag contains 7
white and 8 black balls. A ball is taken at random from the first bag
and placed it into the second bag without seeing the colour. Then one
ball is drawn at random from the second bag. Find the probability
that it is a white ball.
[Ans. :89/192

Answer 1

Answer:

probability

Step-by-step explanation:

A 7/15

B 8/15

xyz

Answer 2

Answer:

89/192

Step-by-step explanation:

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 )

= (5/12 × 8/16) + (7/12 × 7/16)

= 40/192  +  49/192

= 89/192