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:
1 pair
2 pair
3 of a kind
straight
flush
full house
4 of a kind
straight flush
5 of a kind

* Jokers can count as any rank card, in any suit.

(In reply to A start, a hint and a caveat. by Charlie)

Very perceptive, Charlie.   (And accurate, too.)

Posted by Thalamus on 2004-07-09 12:08:57