I am sure this is a basic problem that is easily solvable, however, I have not been in a Statistics class in a little over 31 years and have all but forgotten the basic concepts.

Here is my question:

You have 15 treasure chests. In 9 of those, you will find some money and the other 6 are empty. You get to make as many picks as you can until you get 3 empty chests. What is the probability that you pick 3 straight empty chests to end the "game"?

I think the statistical probability would be relatively low, but just not sure of how to calculate it. If you were to play this "game" a second time, what is the probability of picking 3 empty chests two times in a row?

This recently happened to me and I find it amazing that it actually happened in the game I was playing. Any percentages that anyone could supply would be greatly appreciated!!

Matt