A box contains 10 red and 10 white marbles.The box is then given a good shake.What is the probability that all the 10 red marbles will be at the bottom of the box?

Question

Quizplus · Accepted Answer

There are 20! ways to arrange the marbles. Since the red marbles are indistinguishable, there are 10! ways to arrange them. Similarly, there are 10! ways to arrange the white marbles. Therefore, the probability that all the 10 red marbles will be at the bottom of the box is 10! * 10! / 20! = 1/1024.

A Box Contains 10 Red and 10 White Marbles