Question

What is the probability of drawing, in order, 2 red, 1 blue, and 2 yellow marbles if a bag contains 4 yellow, 5 red, and 6 blue marbles?

Answer 1

I assume that marbles are not returned after drawn here.

Draw 1: 5 reds out of 15 marbles: `5/15`
Draw 2: 4 reds out of 14 marbles: `4/14`
Draw 3: 6 blues out of 13 marbles: `6/13`
Draw 4: 4 yellows out of 12 marbles: `4/12`
Draw 5: 3 yellows out of 11 marbles: `3/11`

Hence, the probability is

`5/15cdot4/14cdot6/13cdot4/12cdot3/11=4/1001`

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I hope that this was helpful.