Probability of being dealt deuces:
There are 48 non-deuces that can be used in a dealt deuce hand.
The sample space is 52 cards dealt 5 at a time, which is C(52, 5) = 2,598,960.
48/2,598,960 = 1/54,145...so about every 54k hands.
Probability of being dealt 5 of a kind:
Assuming there is 1 joker, the sample space is C(53, 5) = 2,869,685.
There are 13 ranks---you want all 4 of one rank plus the joker.
13/2,869,685 = 1/220,745...so about 4 times as rare as dealt deuces and about 3 times more likely than a dealt royal (1 in 649,740).
Here is 5-card's link to VP odds:
http://www.videopokerhelp.net/odds.htm
Lots of great info there.
Jeff
Posted by: jeff-cole@comcast.net
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