Started By
Message
locked post

What are the odds of seeing a face card on the flop in Tx Holdem?

Posted on 8/12/17 at 2:46 am
Posted by deuceiswild
South La
Member since Nov 2007
4516 posts
Posted on 8/12/17 at 2:46 am
Since we're mathing tonight...

Go....

To eliminate bullshite, lets assume you haven't seen your own cards yet, or anyone elses. Basically I'm asking if we were to select any random three cards from a regulation deck, what are the chances a face card will appear?
Posted by Nado Jenkins83
Land of the Free
Member since Nov 2012
64810 posts
Posted on 8/12/17 at 2:48 am to
12 out of 52
Posted by deuceiswild
South La
Member since Nov 2007
4516 posts
Posted on 8/12/17 at 2:50 am to
Nah, that'd be way too easy lol

Let me specify further we are looking for the odds that AT LEAST one face card appears.
Posted by GeorgeTheGreek
Sparta, Greece
Member since Mar 2008
68482 posts
Posted on 8/12/17 at 2:52 am to
17.3% if you're going by the math.
Posted by deuceiswild
South La
Member since Nov 2007
4516 posts
Posted on 8/12/17 at 2:57 am to
Nah, much higher.
Posted by GeorgeTheGreek
Sparta, Greece
Member since Mar 2008
68482 posts
Posted on 8/12/17 at 2:58 am to
Show your work.
Posted by deuceiswild
South La
Member since Nov 2007
4516 posts
Posted on 8/12/17 at 3:00 am to
I'll either show it by 430am or I'll wait till tomorrow night. Its a neat exercise and maybe someone wants a crack at it. Fair enough?
Posted by grape nutz
sesame street
Member since Mar 2006
3669 posts
Posted on 8/12/17 at 3:06 am to
40/52*39/51*38/50=.45

.45-1=.55

Posted by Jim Rockford
Member since May 2011
104143 posts
Posted on 8/12/17 at 3:11 am to
You'll never make it. Get a real job before it's too late
Posted by GeorgeTheGreek
Sparta, Greece
Member since Mar 2008
68482 posts
Posted on 8/12/17 at 3:13 am to
Word to your mother
Posted by deuceiswild
South La
Member since Nov 2007
4516 posts
Posted on 8/12/17 at 3:17 am to
This is correct within a few tenths of a %. Nice!
Posted by grape nutz
sesame street
Member since Mar 2006
3669 posts
Posted on 8/12/17 at 3:18 am to
I rounded up. Thanks.
Posted by deuceiswild
South La
Member since Nov 2007
4516 posts
Posted on 8/12/17 at 3:21 am to
Or down... I have it at 55.3% favorable.
Posted by mdomingue
Lafayette, LA
Member since Nov 2010
41980 posts
Posted on 8/12/17 at 7:57 am to
quote:

Or down... I have it at 55.3% favorable.




If he rounded the 44.7% up to 45%, then when he subtracted it would look like he rounded down.
Posted by mdomingue
Lafayette, LA
Member since Nov 2010
41980 posts
Posted on 8/12/17 at 8:19 am to
You should change the name of the thread because this
quote:

What are the odds of seeing a face card on the flop in Tx Holdem?


and this
quote:

Basically I'm asking if we were to select any random three cards from a regulation deck, what are the chances a face card will appear?



are completely different questions. The flop in Texas holdem is never drawn from a full regulation deck and is improbable, with a large number of players, to contain the entire complement of face cards, though it is possible.

If we assume we keep about the same ratio of Face to Regular cards, on the other hand, we get 10 (rounded up from 9.7 cards) face cards to 42 overall.
In that scenario, using the method Grape Nutz used, your odds go up to 56.8%.

If you would postulate 5 player, each without a face card, then you begin with 12 face cards in a total of 42 overall cards.
In that scenario, using the method Grape Nutz used, your odds go up to 64.6%.

quote:

To eliminate bullshite,


And my post clearly proves this is impossible on the OT.
Posted by Jyrdis
TD Premium Member Level III
Member since Aug 2015
13381 posts
Posted on 8/12/17 at 8:25 am to
quote:

To eliminate bullshite, lets assume you haven't seen your own cards yet, or anyone elses. B


You eliminated important information, since that info affects the odds of a face card flop. How many people are playing? What happens if all of them receive a face card? If you're playing Texas hold'em, these would be the probabilities I'd start with then go from there.
Posted by deuceiswild
South La
Member since Nov 2007
4516 posts
Posted on 8/12/17 at 3:52 pm to
quote:

The flop in Texas holdem is never drawn from a full regulation deck and is improbable, with a large number of players, to contain the entire complement of face cards, though it is possible.


This is irrelevent. It changes nothing. The two ways I worded the same question make perfect sense and they're identical questions.
Posted by deuceiswild
South La
Member since Nov 2007
4516 posts
Posted on 8/12/17 at 3:55 pm to
quote:

ou eliminated important information, since that info affects the odds of a face card flop. How many people are playing? What happens if all of them receive a face card? If you're playing Texas hold'em, these would be the probabilities I'd start with then go from there.



I eliminated nothing and the number of players make no difference. All the cards are unknown.
Posted by mdomingue
Lafayette, LA
Member since Nov 2010
41980 posts
Posted on 8/12/17 at 4:06 pm to
quote:

quote:

The flop in Texas holdem is never drawn from a full regulation deck and is improbable, with a large number of players, to contain the entire complement of face cards, though it is possible.



This is irrelevent. It changes nothing. The two ways I worded the same question make perfect sense and they're identical questions.


I agree with the statement regarding the math for the scenario you describe, I am just saying what you describe is not what the title describes. By definition, the flop in Texas holdem comes after the hole cards are dealt. That is all I was trying to say. Good math exercise regarless.

ETA: Upon rereading your original post, you are correct that the odds of drawing at least one face card in any three cards flipped is the same regardless of when those three cards are flipped within the deal. Well done.
This post was edited on 8/12/17 at 4:12 pm
Posted by KosmoCramer
Member since Dec 2007
79850 posts
Posted on 8/12/17 at 4:16 pm to
The odds of one card NOT being a face card is 40/52.

The odds of none of three cards NOT being a face card is (40/52) x (40/52) x (40/52) = .4551

1 - .4551 = .5449

.5449 x 100 = 54.49% chance of a face card coming on the flop

To make things more complicated, you have two hole cards. If neither of those cards are face cards, you odds increase. Vice versa if you have one or two face cards in the hole.
first pageprev pagePage 1 of 2Next pagelast page

Back to top
logoFollow TigerDroppings for LSU Football News
Follow us on X, Facebook and Instagram to get the latest updates on LSU Football and Recruiting.

FacebookXInstagram