I have a combinatorics problem for a game I am playing that I can't seem to wrap my head around. If anyone could take a stab on it that would be greatly appreciated!
I have a deck of 15 cards. The deck is composed of 5 sets of 3 cards:
AAA BBB CCC DDD EEE
I shuffle the deck and draw 6 cards. What are the odds that I do not draw all of A or all of B? With drawing all of A being a failure, all of B being a failure, and all of A and B being a failure.
I tried to follow combinations for 52 card decks, but I've been messing up when it comes to choosing how to set up the x choose y sections.