chicagodice
chicagodice
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June 23rd, 2012 at 10:24:44 PM permalink
Very simple question... What are the odds of a dealt hand occurring? Everything I see is on the result of the draw but curious about the probability of a dealt hand...
JB
Administrator
JB
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June 23rd, 2012 at 11:01:21 PM permalink
I'm not sure which game you are asking about, so here are the figures for Jacks or Better:

Royal Flush: 1 in 649,740
Straight Flush: 1 in 72,193.3333
Four of a Kind: 1 in 4,165
Full House: 1 in 694.1667
Flush: 1 in 508.8019
Straight: 1 in 254.8
Three of a Kind: 1 in 47.3295
Two Pair: 1 in 21.0354
Jacks or Better: 1 in 7.6911
Beardgoat
Beardgoat
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June 23rd, 2012 at 11:02:17 PM permalink
Quote: chicagodice

Very simple question... What are the odds of a dealt hand occurring? Everything I see is on the result of the draw but curious about the probability of a dealt hand...


1:1 you're dealt a hand
EdCollins
EdCollins
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June 23rd, 2012 at 11:04:00 PM permalink
What's the game? 5-card draw poker?

If so, you can find the probability here:

http://en.wikipedia.org/wiki/Poker_probability

The probability of being dealt a flush, for example, is .001965 or .197% (5,108 flushes / 2,598,960 possible hands)
pacomartin
pacomartin
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June 24th, 2012 at 12:06:35 AM permalink
Quote: chicagodice

Very simple question... What are the odds of a dealt hand occurring? Everything I see is on the result of the draw but curious about the probability of a dealt hand...



The reason you see the result of a draw, is because that calculation is much more difficult. The dealt hands is simple .

=combin(52,5)/combin(4,1) is probability of royal flush...
chicagodice
chicagodice
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June 25th, 2012 at 2:43:20 PM permalink
Thanks. That certainly answers my question...
buzzpaff
buzzpaff
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June 25th, 2012 at 2:44:05 PM permalink
What was your question ?

Asking for my friend Vinnie Barbarino. He says " I am so confused " .
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