\(\text{A bag has 4 red marbles, 5 white marbles, and 6 blue marbles. Three marbles are drawn from the bag (without replacement). What is the probability that they are all the same color? }\)
\(p = \dfrac{\dbinom{4}{3}\dbinom{5}{0}\dbinom{6}{0}+\dbinom{4}{0}\dbinom{5}{3}\dbinom{6}{0}+ \dbinom{4}{0}\dbinom{5}{0}\dbinom{6}{3}}{\dbinom{15}{3}} = \dfrac{34}{455}\)
