Question 16553 – TIFR PHD 2022

Consider a bag containing colored marbles. There are n marbles in the bag such that there is exactly one pair of marbles of color i for each i ∈ {1, . . . ,m} and the rest of the marbles are of distinct colors (different from colors {1, . . . ,m}). You draw two marbles uniformly at random (without replacement). What is the probability that both marbles are of same color?

Correct Answer: C