richardsonnerd
richardsonnerd
Joined: Oct 20, 2021
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November 4th, 2021 at 6:08:17 AM permalink
I'm looking for someone to assist me in completing this chart, I'm not sure the first column is correct. I had an awesome person on here help complete the 3 card version and it was perfect. However, he is too busy to complete the more complicated 5 card version. Any takers? DM me and we can discuss further.

The chart is for a prop bet in a game. The rules of the bet are straight 5 card stud, with one standard deck of cards. A player can win, dealer can not qualify (A, K to qualify), player and dealer can tie, and player can lose. The chart attached will give me all the info I need to calculate odds, house edge and payouts. Thank you!

I do not have enough posts to add the chart. So I will describe
Five columns: Hand Rank, Win, Tie, Loss, No Qualify
Nine rows: Royal Flush, Straight Flush, Four of a Kind, Full House, Flush, Straight, Three of a Kind, Two Pair, One Pair, High Card.

Total number of hands after all combinations are calculated: 19,933,230,517,200
heatmap
heatmap
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November 4th, 2021 at 10:55:22 AM permalink
richardsonnerd
richardsonnerd
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November 4th, 2021 at 11:08:41 AM permalink
Huh? What word?
OnceDear
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OnceDear
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November 4th, 2021 at 12:09:01 PM permalink
Quote: richardsonnerd

Huh? What word?
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Well, your post title 'To hire' implies you are available to hire. The opposite of 'Help Wanted.' or 'Contractor Opportunity' etc.
Beware. The earth is NOT flat. Hit and run is not a winning strategy: Pressing into trends IS not a winning strategy: Progressives are not a winning strategy: Don't Buy It! .Don't even take it for free.
richardsonnerd
richardsonnerd
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November 4th, 2021 at 12:28:56 PM permalink
Ahhh. I see. Canít edit the title. Thanks!
gordonm888
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gordonm888
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Thanks for this post from:
OnceDear
November 4th, 2021 at 12:50:11 PM permalink
Quote: richardsonnerd

Ahhh. I see. Canít edit the title. Thanks!
link to original post



I have changed it for you.
So many better men, a few of them friends, are dead. And a thousand thousand slimy things live on, and so do I.
richardsonnerd
richardsonnerd
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November 4th, 2021 at 6:09:46 PM permalink
Thank you!
ThatDonGuy
ThatDonGuy
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November 7th, 2021 at 7:13:03 AM permalink
You're in luck - I found a faster way to do it ("only" 18 hours), and managed to crunch the numbers. They appear to match what I get in simulation.

Note that the actual number of deals is 2,598,960 x 1,533,939 = 3,986,646,103,440.

HandWinTieLoseNot Qualified
Royal Flush3,351,9481202,783,796
Straight Flush31,385,94410859623,835,156
Four of a Kind566,487,1600161,336390,529,440
Full House3,324,895,05606,880,3202,411,292,240
Flush4,371,398,05615,32422,680,5843,441,266,448
Straight8,761,103,2202,469,00086,930,0526,795,675,528
Three of a Kind46,848,581,66401,620,116,18435,762,960,520
Two Pair97,602,427,872370,65610,404,494,28081,513,938,520
Pair464,948,464,32029,652,480487,071,772,560732,583,278,000
Garbage6,319,761,67240,491,6001,113,162,622,296878,494,029,492
richardsonnerd
richardsonnerd
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November 7th, 2021 at 9:31:52 AM permalink
Holy crap! THANK YOU! Can you DM me what I owe you?
richardsonnerd
richardsonnerd
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November 7th, 2021 at 9:53:05 AM permalink
Quote: ThatDonGuy

You're in luck - I found a faster way to do it ("only" 18 hours), and managed to crunch the numbers. They appear to match what I get in simulation.

Note that the actual number of deals is 2,598,960 x 1,533,939 = 3,986,646,103,440.

HandWinTieLoseNot Qualified
Royal Flush3,351,9481202,783,796
Straight Flush31,385,94410859623,835,156
Four of a Kind566,487,1600161,336390,529,440
Full House3,324,895,05606,880,3202,411,292,240
Flush4,371,398,05615,32422,680,5843,441,266,448
Straight8,761,103,2202,469,00086,930,0526,795,675,528
Three of a Kind46,848,581,66401,620,116,18435,762,960,520
Two Pair97,602,427,872370,65610,404,494,28081,513,938,520
Pair464,948,464,32029,652,480487,071,772,560732,583,278,000
Garbage6,319,761,67240,491,6001,113,162,622,296878,494,029,492

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Interestingly, when you add up all the numbers they do all match the total. However, if each cell is divided by 3,986,646,103,440 then the total probability only equals 0.8103066760. Shouldn't it come out to 1.0?

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