2023 Combinatorics #1
Source:
April 17, 2023
Problem Statement
There are marbles in a bag. Each marble is colored with one of colors, and there are eight marbles of each color. Anna draws one marble at a time from the bag, without replacement, until she gets eight marbles of the same color, and then she immediately stops.Suppose Anna has not stopped after drawing marbles. Compute the probability that she stops immediately after drawing the th marble.