Posted: 17 April 2018 at 10:22pm  IP Logged  12

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Years ago I read that the odds of being dealt a Royal Flush in poker are exactly the same a being deal any other hand. If we put the same significance on, say, Ace, 2, 5, Jack, Queen, we'd see that "special" combination was just as "rare" as a Royal Flush.
There's a little bit of wordplay here that's crucial.
Your chances of being dealt a Royal Flush in spades is exactly the same as any other hand.
However, there are four possible Royal Flushes (from four suits), so your chances of being dealt *a* Royal Flush (of any suit) is a little bit different.
For other hands there are more possible combinations making a 'lesser' hand of some combination more likely to be dealt.
As an example, there are 9 possible Straight Flushes for each suit (10, if you count the Royal Flush which is technically the highest Straight Flush). So you are 9 times more likely to be dealt a Straight Flush of any suit versus a Royal Flush of any suit.
I'll do one more with the next highest hand.
There are 13 possible FourofaKinds, each of these can have one of 12 possibilities for the fifth card that doesn't matter. You are 156 (13x12) times more likely to be dealt a FourofaKind than a Royal Flush of any suit.
But your chances of being dealt four 10s with a 3 of hearts is exactly the same as being dealt a Royal Flush in spades.
