Thanks for everybody participating in my (very first) thread on physicsforums.
This question rose from a computer programming exercise. I wrote the code for the software first, and was intrigued about the analytical solution afterwards. (Also, bonus points were given for providing math.)
The...
Homework Statement
There is a large\infinite amount of balls in a basket to pick from.
Each ball in the basket is with the same probability (33.33...%) either black, white or gray. No other colors exist.
You first pick 4 balls out of the basket.
Then you pick 2 more balls out of...