Re: Probability of a "Super" Royal Flush



nice one lads: it's pretty unlikely then! thanks aswell for the
workings - I think it's all pretty much cemented in my head ok.

If there were 10 of us sitting round a table playing one hand of
betholdem what'd be the chance that during that game one of the 10 of
us got that set of cards!!? (this game involves 5 cards being in the
middle of the table and shared by all 10 players and then each player
getting dealt 2 cards). I know it must be more likely then the below
but how much more likely.

Any help greatly appreciated
J



Janzon wrote:

WhytheQ skrev:

Can anyone please show me how to calculate the following probability
The chance of being dealt, IN SPADES, the following:

8: 9: 10: J: Q: K: Ace (i.e 8 of spades through to Ace of spades)

Any help geatly appreciated,
Jason

(...if workings could be included that'd be much appreciated, as I'm
trying my best to understand some basic probability)

Assuming you are familiar with the "number of combinations" function
(also called "choose"):

How many ways are there to get the above hand, not caring about the
order of the cards? Answer: 1

How many ways are there to deal a seven card hand, not caring about the
order of the cards? Answer: choose(52,7).

Hence the probability is 1/choose(52,7) = (52-7)! 7! / 52! = 1/133784560

.



Relevant Pages

  • Re: Probability of a "Super" Royal Flush
    ... workings - I think it's all pretty much cemented in my head ok. ... (this game involves 5 cards being in the ... The chance of being dealt, IN SPADES, the following: ... How many ways are there to deal a seven card hand, not caring about the ...
    (sci.math)
  • Re: Probability of a "Super" Royal Flush
    ... (...if workings could be included that'd be much appreciated, ... order of the cards? ... How many ways are there to deal a seven card hand, not caring about the ...
    (sci.math)
  • Re: Probability of a "Super" Royal Flush
    ... (...if workings could be included that'd be much appreciated, ... trying my best to understand some basic probability) ... the cards you need ... for the flush occurs exactly once in the deck. ...
    (sci.math)
  • Re: Dealer error
    ... I completely agree with your advice, but when I dealt I got into the habit ... of them was only mucking hands turned in face down. ... If the cards were ... just push the pot, and one out of 500 times I'm wrong. ...
    (rec.gambling.poker)
  • Re: juiced flops
    ... wouldn't your logic " if 40 cards are being dealt out, ... hold'em vs. O8 that contain an ace, as Mysteri Ace has done, you might be ... The reason why aces don't appear on the flop 'as often' in Omaha8 ...
    (rec.gambling.poker)