Well there's the rule I didn't know - you can multiple the binomial coefficient numbers together to condense it into one binomial coefficient instead of 2. I thought that binom(48,1) wasn't equal to binom(12,1) * binom(4,1).
But wouldn't that mean if I drew a five card hand, the last term would be binom(48,3)? The article says to use binom(12,1) * binom(4,1), not binom(48,1).
en.wikipedia.org/wiki/… In regards to the "Four of a kind" probability, how would I change the function if I were drawing 7 cards instead of 5, for my hand?