I have 6 black marbles, 2 yellow marbles, and 6 red marbles in a hat. If I pick 3 marbles from the hat, what is the probablility that all 3 will be black?

Question

I need to know how to work this problem. 

Answer 1

The probability of the first being black is 6/14 (desired/total).  the 2nd is 5/13 (since 1 black marble is gone and the 3rd is 4/12.  Multiplying the three together gives us the total probability:

 

6/14 x 5/13 x 4/12 = 5/91