I kindly asked for your help in order to solve a probability problem. I tried to figure out how to solve it, unfortunately with to much success...

We have 1000 balls - 970 white and 30 black.

The question is: by picking 500 balls from 1000 balls in total, which is the probability to pick 490 white balls and 10 black balls? We pick the balls one by one and we don't return the balls during picking process.

Thank you very much in advance!

Kind regards,

Lidia