I wrote:
>Well, just giving some rough estimates, straights are made about 1% of
>the time. There are 10 possible straights, so ace high straights
>would be made about 1 in 1000 hands. Of those, starting out with an
>ace of any suit, to have the other 4 cards match its color would be
>1/2 each, for a total of (1/2)^4, negligibly removing the royal
>flushes. So, it sounds like that hand occurs once in about 16,000
>hands. Getting 36 extra bets for it would add .225% to the overall
>payback, making it something like 98.3%. Strategy and other
>adjustments, such as drawing to royal flushes more than each
>particular straight flush, might add .1%.
I think that .1% might be low, since by the reasoning I gave above for
the frequency of the Red or Black Royal Flush, a royal flush would be
hit only once in 256,000 hands. I'll guess the overall payback with
perfect play is 98.8%.
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