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Medium-High Stakes Full Ring Discussion of $400+ pot-limit and no-limit and 5/10 live texas hold'em full ring games, situations and strategies

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Old 03-05-2018, 08:19 PM   #1
pokerslut321
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Probability question

Random question...at a full ring poker table, whatís the chances that the players directly to your left and right share one of your whole cards? For example...Iím in seat 5 and my hand is Q10 offsuit. How often or what percentage of the time will seat 4 OR seat 6 have either a Q or a 10? Whatís the equation to quantify this?
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Old 03-06-2018, 09:17 AM   #2
diskoteque
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Re: Probability question

Not sure but I think itís 50%, either they have it or they donít
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Old 03-06-2018, 04:14 PM   #3
iamallin
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Re: Probability question

About 41%

I tried to calculate it. May have made some mistakes. 50% was actually a very good guess disko
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Old 03-06-2018, 10:27 PM   #4
grant2
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Re: Probability question

i think it's ~39.6%

When you have a pocket pair, there is ~84.5% chance that none of your neighbours' 4 cards will be either of the 2 out of 50 that are same rank as your hole cards.

When you have a non-pair, there is a ~58.9% chance that none of the your neighbours' 4 cards will be any of the 6 out of the 50 that are the same ranks as your hole cards.

You get a pocket pair ~5.9% of the time, unpaired ~94.1% of the time.

(5.9% x 84.5%) + (94.1% x 58.9%) = 60.4% chance of missing

1 - 60.4% = 39.6% chance of hitting.
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Old 03-07-2018, 03:42 PM   #5
shorn7
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Re: Probability question

Isn't this as simple as 1- ((6/50) + (6/48)) or 75.5%?

I guess not sure why you really care as there are 6 other players at the table too.
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Old 03-07-2018, 07:03 PM   #6
RoyalRumble
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Re: Probability question

Assuming you want to count the times they have more than 1 of your cards between them:

Chance they have none of your cards is 44/50 * 43/49 * 42/48 * 41/47 = 58.9%
Chance they have one or more is 41.1%
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Old 03-13-2018, 03:16 AM   #7
grant2
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Re: Probability question

Quote:
Originally Posted by RoyalRumble View Post
Chance they have one or more is 41.1%
Unless you have a pocket pair... which happens 6% of the time... see above!
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