View Full Version : Question about coinflip?
ripwalk
12-19-2005, 12:06 AM
The standard "race" in poker (pair v.s. 2 overcards) is always termed a "coinflip". From various hand simulators, I've always thought the percentage for this was somewhere around the 51 to 49 percent range in favour of the pair taking it.
However, one guy I was playing tonight kept quoting the coinflip situations as being 55 to 45 in favour of the pair.
And, as I think about it, I've seen some poker broadcasts where they advertise this percentage...
I'm just wondering, what is the actually probability of the race situation in poker?
Which hand simulators are you using that this is a mystery? For AKo vs 88 without any suits being shared, it's 44.4% to 55.6% in favour of 88. So yes, coinflip is something of a misnomer.
Hope this helps,
--JTR.
ohnonotthat
12-19-2005, 03:46 AM
The rule of thumb is that the pair is a 6-5 (55:45) favorite against overcards.
The term "coin-flip" refers to the fact that there is no huge mismatch; the dead money (blinds + antes + anyone who folded) often makes it mathmatically correct for both players to contest the pot - even if they could see the other's hand.
Pair vs lower pair is a mismatch; the higher pair is, on average, a 4.5-1 (82:18) favorite.
A-K vs A-"anything else" is a mismatch; A-K is > a 3-1 favorite over almost all other Aces.
A-J vs K-T is not a David/Goliath but the A-J is ~ a 3-2 (60:40) favorite.
You will win alot of money by getting opponents to put their stacks in the pot as 6-5 underdogs.
You will get rich getting them all-in as 3-1/4-1 'dogs.
*
The other reason for the term . . .
If I am looking at a large bet (that is not a bluff) while holding A-K there are 3 scenarios.
My opponent has a pair (2-2 thru Q-Q) and I am a small 'dog.
My opponent has a lessor Ace (A-Q being the most likely) and I am a huge favorite.
My opponent has AA or KK and I am in deep doodoo.
- Actually there is a difference between facing KK or AA; I am close to dead against AA while I am a [much smaller] 3-1 'dog against KK but obviously I am hoping for one of the first two scenarios (him: A-Q or a smaller pair) if I do call.
pzhon
12-19-2005, 06:34 AM
Usually the pair is a favorite, by as much as 57:43, e.g., Q/images/graemlins/heart.gif Q/images/graemlins/diamond.gif vs. A/images/graemlins/spade.gif K/images/graemlins/club.gif or 7/images/graemlins/heart.gif 7/images/graemlins/diamond.gif vs. K/images/graemlins/spade.gif 8/images/graemlins/club.gif.
Sometimes the overcards are a favorite, by as much as 54:46, e.g., J/images/graemlins/heart.gif T/images/graemlins/heart.gif vs. 2/images/graemlins/spade.gif 2/images/graemlins/club.gif.
I recommend www.twodimes.net (http://www.twodimes.net) .
Your opponent was closer to being correct, I think. Typically a pair is considered favourite by a margin of roughly 55-45 against the overcards.
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