Question

A box ‘A’ contains 2 white, 3 red and
2 black balls. Another box ‘B’ contains
4 white, 2 red and 3 black balls. If two balls
are drawn at random, without
replacement, from a randomly selected
box and one ball turns out to be white
while the other ball turns out to be red,
then the probability that both balls are
drawn from box ‘B’ is :

Answer 1

Total posible outcomes = balls in box A + balls in box B = 16

No. Possible outcome = no. of red and white balls in a box B = 6

Probability that the ball is drawn from box B = no. of posaible outcomes/ total no. of posaible outcomes =

6/16 = 3/8