question_answer

There are 5 white and 8 red balls in bag A, 7 white and 6 red balls in bag B, 6 white and 5 red balls in bag C. One ball is taken out at random from each bag. Find the probability that all the three balls are of the same colour.

Answer:

We have, Now, P (all 3 balls are of same colour) \[=\frac{5}{13}\times \frac{7}{13}\times \frac{6}{11}+\frac{8}{13}\times \frac{6}{13}\times \frac{5}{11}=\frac{210}{1859}+\frac{240}{1859}=\frac{450}{1859}\]