MathDB

Suppose a box contains

28

balls:

1

red,

2

blue,

3

yellow,

4

orange,

5

purple,

6

green, and

7

pink. One by one, each ball is removed uniformly at random and without replacement until all

28

balls have been removed. Determine the probability that the most likely “scenario of exhaustion” occurs; that is, determine the probability that the first color to have all such balls removed from the box is red, that the second is blue, the third is yellow, the fourth is orange, the fifth is purple, the sixth is green, and the seventh is pink.

Problem Statement