Video Poker stats

[details]

Does anyone know stats on delt hands vs made hands ?  Example making a royal on the draw 1/40,000 on the deal 1/650,000. In Super aces 4 aces happens with perfefct play every 4210 hands. What about on the deal?

[Eduardo]

Not very good odds to get it on the deal.

[shadowman]

Does anyone know stats on delt hands vs made hands ?  Example making a royal on the draw 1/40,000 on the deal 1/650,000. In Super aces 4 aces happens with perfefct play every 4210 hands. What about on the deal?
 
The mathematics is actually quite simple. There are 48 different ways to be dealt 4 aces. The 4 aces plus one of the other 48 cards. Simply divide this value into the total number of dealt hands (2,598,960) = 54145. This number is the same for any dealt 4 of a kind, therefore the odds of getting ANY 4K dealt is 54145/13 =4165.
 
The total number of hands is 52 cards combined 5 at a time (52 C 5). You knew those combinations and permutations would be useful SOME day

[details]

thank you

[broken]

looking for the answer to the age old  question, which i can't find in my
books.  how many possible 5 card hands can be dealt from a 52 card deck.
 
and if you have the math?
 
thanks.

[shadowman]

looking for the answer to the age old  question, which i can't find in my
books.  how many possible 5 card hands can be dealt from a 52 card deck.
 
and if you have the math?
 
thanks.
 
The answer is in my previous post in this thread. 52 cards combined 5 at a time (52 C 5) is 52! / 5!47! = 2598960.
 
For any combination nCr = n! / r!(n-r)!
 
If it's been awhile since you looked at combinations the ! means factorial, for example 5! = 5*4*3*2*1.