A box contains 10 balls: 4 red, 3 blue, and 3 green. You want to randomly select 3 balls from the box without replacement. What is the probability that all three balls selected are of the same color?

To find this probability, you first need to calculate the total number of ways to choose 3 balls out of 10, and then determine how many favorable outcomes correspond to selecting 3 balls of any single color.