How to solve this probability?

Okay - this isn't homework. I took statistics and let's just say although it wasn't pretty, I passed. My boss asked me to solve this probability question back when I was taking stats and I could never figure it out. He wants to know the probability for a bowling raffle he is in every year.

There are 3 fishbowls.

Inside each fishbowl there are 10 marbles.

3 marbles are black

7 marbles are white

What is the probability that if you pull 4 marbles from each jar that you will get 9 black marbles?

I told him about this site and that he might finally get an answer to this question that has been bugging him for a while. I hope someone knows!