Flopping Quads in Holdem
There are C(52,5) ways to deal two cards + a flop.
There are 13 different ranks that give quads, plus 39 additional cards that can match each flop.
So this means there are 13*39 combinations that give quads.
507/2,598,960 = 5126:1. This includes hands start with a pair or not.
If you deal your hand in Holdem or Stud, the odds are identical to end with quads after 7 cards. It makes no difference whether you deal the cards up or down to make quads.
The last question a lot more complex, I'll have to work something out.
|