Assignment:
A box contains 4 green, 10 red, 6 yellow, and 5 blue marbles. Four marbles are drawn from the box without replacement.
a) What is the probability that you get one marble of each color?
b) What is the probability that none of the marbles is red?
c) What is the probability that all four marbles are the same color?
Provide complete and step by step solution for the question and show calculations and use formulas.