The likelihoods of being dealt various poker hands are widely published (easily found on the internet). A more difficult problem is: what are the likelihoods of being dealt each poker hand, given a 54 card deck (52 card deck + 2 jokers).
The various hands of interest are:
3 of a kind
4 of a kind
5 of a kind
* Jokers can count as any rank card, in any suit.
This one is pretty easy:
Think of the deck as consisting of 6 aces of which you want 5. Then multiply by 13 ranks.
or about .00002466395363
Posted by Jer
on 2004-07-09 15:47:50