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Old 08-26-2020, 10:30 PM   #1
St00EE
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Odds of Two Hands Versus Each Other Preflop

Hello fellow 2p2 brothers and sisters!

I am new to the forum and I am currently a recreational player that is wanting to take the game more seriously. I have always been bad at the numbers of the game, and that is because I haven't put in the time to remember any of it yet.

That said, I am reading an article on cardplayer on odds an outs and came to a part I can't figure out. The full article is on:

https://www.cardplayer.com/poker-tools/odds-and-outs#4

I have included an excerpt of the point in the article I am stuck at. Any help is appreciated.

What I don't understand is what the percent part of the hand situation is. For example, a higher pair vs. a lower pair situation would happen on average once every five hands, and that equates to 4.09-to-1 odds, but, what does the percent mean? What does 80.3% vs. 19.7% mean?

Odds of two hands versus each other preflop (approximated)

Situation Hands Odds Percent

Higher pair vs. lower pair Js Jc vs. 7h 7d 4.09-1 80.3% vs. 19.7%
Pair vs. two higher cards 7s 7c vs. Ah Jd 1.23-1 55.1% vs. 44.9%
Pair vs. two lower card Qs Qc vs. 9h 7d 4.77-1 82.7% vs. 17.3%
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Old 08-26-2020, 10:47 PM   #2
madlex
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Re: Odds of Two Hands Versus Each Other Preflop

If you take those two pairs like JJ vs 77 and deal flop, turn and river, the higher pair is going to win roughly 80% of the time and the lower pair is going to win roughly 20% of the time.
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Old 08-27-2020, 06:07 AM   #3
Im Nacho Friend
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Re: Odds of Two Hands Versus Each Other Preflop

Those are called all-in equities and show how much of the pot each hand will capture on average.

For example two players are all-in pre-flop and the pot before the flop is dealt is 100BB. Then the player with in this case JcJs will on average win 100BB * 80.3% = 80.3BB and 7h7d will win an average of 100BB * 19.7% = 19.7BB. (Keep in mind this is only true in a rakeless environment)

This is not the same as the amount of time JJ will win or 77 will win on average. This is because these all-in equities also account for the times these hands split the pot. For example on the boards A2345r, AAAAK or QQQAA they will split the pot.
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Old 08-27-2020, 07:52 AM   #4
St00EE
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Re: Odds of Two Hands Versus Each Other Preflop

Quote:
Originally Posted by madlex View Post
If you take those two pairs like JJ vs 77 and deal flop, turn and river, the higher pair is going to win roughly 80% of the time and the lower pair is going to win roughly 20% of the time.
Thank you! That makes total sense and one of the options that came to my mind.
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Old 08-27-2020, 07:53 AM   #5
St00EE
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Re: Odds of Two Hands Versus Each Other Preflop

Quote:
Originally Posted by Im Nacho Friend View Post
Those are called all-in equities and show how much of the pot each hand will capture on average.

For example two players are all-in pre-flop and the pot before the flop is dealt is 100BB. Then the player with in this case JcJs will on average win 100BB * 80.3% = 80.3BB and 7h7d will win an average of 100BB * 19.7% = 19.7BB. (Keep in mind this is only true in a rakeless environment)

This is not the same as the amount of time JJ will win or 77 will win on average. This is because these all-in equities also account for the times these hands split the pot. For example on the boards A2345r, AAAAK or QQQAA they will split the pot.
That makes a lot of sense. Glad that There is 2p2 to go to when I have a question. Vouldn't figure out how to ask google this question, lol. Thank you!
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Old 08-27-2020, 10:09 AM   #6
Didace
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Re: Odds of Two Hands Versus Each Other Preflop

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Originally Posted by St00EE View Post
For example, a higher pair vs. a lower pair situation would happen on average once every five hands, and that equates to 4.09-to-1 odds
I don't think that's what those numbers mean. Take another look at it.
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