A question about a problem involving probability, could really use input on this?

Question

Ok, if there is a bag containing 2 red, 6 blue, 7 yellow, and 3 orange marbles, and once a marble is pulled it is not replaced, what would be the probability of pulling 2 yellow marbles in a row, and then an orange marble? This is what I came up with, and wanted it checked over:

Probability of first yellow: 7/18
Probability of second yellow: 6/17
Probability of third being orange: 3/16

Multiply the three together to get: 7/272

Is that right?

Answer 1

That is the right technique and the final number is perfect.

Have some confidence. You know what you are doing.

Answer 2

yes that is right