Probability of Drawing Two Same Color Beads

A box contains 10 red beads, 15 blue beads, and 5 green beads. If you randomly draw 2 beads from the box without replacement, what is the probability that both beads drawn are the same color?

To solve this problem, consider the total number of ways to choose 2 beads from the entire box and the number of ways to choose 2 beads of each color.