Bad Beat Jackpot hands

[pseudoswede]

While sitting in a boring meeting last week, I was trying to figure out how many hands are possible to "win" a Bad Beat Jackpot. I'm assuming all the casinos in the Hill follow the same rule (aces over jacks or better; both hole cards must be used).

So the following hands will qualify: Full boats of face cards and aces, straight flushes, and four-of-a-kinds.

Let's combine our collective knowledge and figure out all of the possibilities!

Here's what I have so far...


*** FULL BOAT vs. FULL BOAT ***

Player 1 Community Cards Player 2
AJ AAJK AK
AJ AAJQ AQ
AQ AAQK AK

*** FULL BOAT vs. FOUR-OF-A-KIND ***

Player 1 Community Cards Player 2
AA AJJ JJ
AA AJJxx xx
AA AQQ QQ
AA AQQxx xx
AA AKK KK
AA AKKxx xx

Where xx = the same cards, thus 11 different scenarios each.

*** FULL BOAT vs. STRAIGHT/ROYAL FLUSH (4 possibilities of each) ***

Player 1 Community Cards Player 2
AA AKQQ JT
AA AKKQ JT
AA AKJJ QT
AA AJJT QK
AA AKKT JQ
AK AAKQ JT
AK AAKJ QT
AK AAKT QJ
AQ AAQK JT
AJ AAJK QT
23 AA45x Ax
34 AA25x Ax
45 AA23x Ax
24 AA35x Ax
25 AA34x Ax
35 AA24x Ax

Where x = J, Q or K

*** STRAIGHT FLUSH vs. STRAIGHT/ROYAL FLUSH (4 possibilites of each) ***

Player 1 Community Cards Player 2
A2 345 67
A2 3458 67
A2 34589 67
A2 3457 68
A2 34579 68
A2 3458 67
A2 34589 67
23 456 78
23 4569 78
23 4569T 78
23 4568 79
23 4568T 79
23 4569 78
23 4569T 78
23 A457 68
23 A4579 68
23 A458 67
23 A4589 67
34 567 89
34 567T 89
34 567TJ 89
34 5679 8T
34 5679J 8T
34 567T 89
34 567TJ 89
34 2568 79
34 2568T 79
34 2569 78
34 2569T 78
34 A2578 69
34 A2579 68
34 A2589 67
45 678 9T
45 678J 9T
45 678JQ 9T
45 678T 9J
45 678TQ 9J
45 678TJ 9Q
45 3679 8T
45 3679J 8T
45 367T 89
45 367TJ 89
45 3679T 8J
45 23689 7T
45 2369T 78
45 2368T 79
56 789 TJ
56 789Q TJ
56 789QK TJ
56 789J TQ
56 789JK TQ
56 789JQ TK
56 478TQ 9J
56 478JQ 9T
56 478TJ 9Q
56 3479T 8J
56 3479J 8T
56 347TJ 89
67 89T JQ
67 89TK JQ
67 89TKA JQ
67 89TQ JK
67 89TQA JK
67 89TQK JA
67 589J TQ
67 589JK TQ
67 589Q TJ
67 589QK TJ
67 589JQ TK
67 458TJ 9Q
67 458TQ 9J
67 458JQ 9T
78 9TJ QK
78 9TJA QK
78 9TJK QA
78 69TQ JK
78 69TQA JK
78 69TK JQ
78 69TKA JQ
78 69QKA JT
78 569JQ KT
78 569JK QT
78 569QK JT
89 TJQ KA
89 7TJK QA
89 7TJA QK
89 67TQK AJ
89 67TQA KJ
89 67TKA QJ
A3 2457 68
A3 24579 68
A3 2458 67
A3 24589 67
A4 23578 69
A4 23589 67
24 3568 79
24 3568T 79
24 3569 78
24 3569T 78
24 A3579 68
24 A3589 67
25 34689 7T
25 3468T 79
25 3469T 78
35 4679 8T
35 4679J 8T
35 467T 89
35 467TJ 89
35 24689 7T
35 2468T 79
35 2469T 78
36 4579T 8J
36 4579J 8T
36 457TJ 89
46 578T 9J
46 578TQ 9J
46 578J 9T
46 578JQ 9T
46 578TJ 9Q
46 3579J 8T
46 357TJ 89
47 568TJ 9Q
47 5689Q 9J
47 568JQ 9T
57 689J TQ
57 689JK TQ
57 689Q TJ
57 689QK TJ
57 689JQ TK
57 468TQ 9J
57 468JQ 9T
58 679JQ TK
58 679TK TQ
58 679QK TJ
68 79TQ JK
68 79TQA JK
68 79TK JQ
68 79TKA JQ
68 79TQK JA
68 579JK TQ
68 579QK TJ
69 78TQK JA
69 78TQA JK
69 78TKA JQ
79 8TJK QA
79 8TJA QK

*** FOUR-OF-A-KIND vs. FOUR-OF-A-KIND ***

Player 1 Community Cards Player 2
22 2233 33
-- There are 78 different scenarios in this category. --
KK KKAA AA

*** FOUR-OF-A-KIND vs. STRAIGHT/ROYAL FLUSH (4 possbilities of each) ***

Player 1 Community Cards Player 2
AA AAKQ JT
AA AAKJ QT
AA AAQJ KT
AA AAKT JQ
AA AAQT JK
AA AAQJ TK
xx xxAKQ JT
xx xxAKJ QT
xx xxAKT JQ
xx xxAQJ KT
xx xxAQT KJ
xx xxAJT KQ
xx xxKQJ AT
xx xxKQT AJ
xx xxKJT AQ
xx xxQJT AK
yy yyKQJ T9
yy yyKQT J9
yy yyKQ9 TJ
yy yyKJT Q9
yy yyKJ9 QT
yy yyKT9 QJ
yy yyQJT K9
yy yyQJ9 KT
yy yyJT9 QK
yy yyQJT 98
yy yyQJ9 T8
yy yyQJ8 T9
yy yyQT9 J8
yy yyQT8 J9
yy yyJT9 Q8
yy yyJT8 Q9
yy yyJ98 QT
yy yyT98 QJ
yy yyJT9 87
yy yyJT8 97
yy yyJT7 98
yy yyJ98 T7
yy yyJ97 T8
yy yyT98 J7
yy yyT97 J8
yy yyT87 J9
yy yy987 JT
yy yyT98 76
yy yyT97 86
yy yyT96 87
yy yyT87 96
yy yyT86 97
yy yy987 T6
yy yy986 T7
yy yy976 T8
yy yy876 T9
yy yy987 65
yy yy986 75
yy yy985 76
yy yy976 85
yy yy975 86
yy yy876 95
yy yy875 96
yy yy865 97
yy yy765 98
yy yy876 54
yy yy875 64
yy yy874 65
yy yy865 74
yy yy864 75
yy yy765 84
yy yy764 85
yy yy754 86
yy yy654 87
yy yy765 43
yy yy764 53
yy yy763 54
yy yy754 63
yy yy753 64
yy yy654 73
yy yy653 74
yy yy643 75
yy yy543 76
yy yy654 32
yy yy653 42
yy yy652 43
yy yy643 52
yy yy642 53
yy yy543 62
yy yy542 63
yy yy532 64
yy yy432 65
yy yy543 2A
yy yy542 3A
yy yy54A 32
yy yy532 4A
yy yy53A 42
yy yy432 5A
yy yy43A 52
yy yy42A 53
yy yy32A 54

xx = Any cards not included in the player 2's hole cards or
community cards (8 possibilities each)
yy = Any cards not included in the player 2' hole cards,
community cards, nor will it complete a higher straight flush
on the board (7 possibilities each)

*** FULL BOAT vs. FULL BOAT vs. FOUR-OF-A-KIND ***

Player 1 Player 2 Player 3 Community Cards
AK AK QQ AAKQQ
AK AK JJ AAKJJ
AQ AQ KK AAQKK
AQ AQ JJ AAQJJ
AJ AJ KK AAJKK
AJ AJ QQ AAJQQ

*** FULL BOAT vs. FULL BOAT vs. ROYAL FLUSH (4 possibilities of each) ***

Player 1 Player 2 Player 3 Community
AK AK JT AAKQ
AK AQ JT AAKQ
AK AJ JT AAKQJ
AK AK QT AAKJ
AK AQ QT AAKQJ
AK AJ QT AAKJ
AK AK QJ AAKT
AK AQ QJ AAKQT
AK AJ QJ AAKJT
AQ AQ JT AAKQ
AQ AJ JT AAKQJ
AQ AQ KT AAQJ
AQ AJ KT AAQJ
AQ AQ KJ AAQT
AQ AJ KJ AAQJT
AJ AJ KT AAQJ
AJ AJ QT AAKJ
AJ AJ KQ AAJT


So far, there are, in theory, about 3483 scenarios that would create a Bad Beat Jackpot.

Any others?

[Stryker]

Swede, it actually looks like you've found them all!! I only looked for a couple minutes but nothing that you missed struck me.

Which program is that that you are using for odds and such?

[pseudoswede]

Which program is that that you are using for odds and such?

http://www.twodimes.net/poker

[Stryker]

Thanks...Very interesting

[tjholdem]

I tyhink you have got them all swede....thanks

[pseudoswede]

I tyhink you have got them all swede....thanks

Almost! I need to work out situations where you can be holding AK, get a full boat, and still get beat by a royal flush. I'll work on that in a little bit.

Woah...I also realized that there are A LOT MORE scenarios involving straight-flush vs. straight-flush.

[Neilsco]

Very cool it's interesting little tidbits such as this that keep me up at night.

[znamenacek]

Don't forget about four of a kind vs straight flush. There are a bunch of these.

For Example (s = suited),

Player 1 Community Cards Player 2
AA AAsKsQs JsTs

[pseudoswede]

Don't forget about four of a kind vs straight flush. There are a bunch of these.

For Example (s = suited),

Player 1 Community Cards Player 2
AA AAsKsQs JsTs

Thanks!

Updated: There are 2592 possibilities in this scenario alone!

[pseudoswede]

Updated.

WOW! 3405 different possbilities!

Now, let's discuss how many of these would you actually play as starting hands, and how many you would actually be daring enough to play until the river. :lol:

[idh78]

Updated.

WOW! 3405 different possbilities!

Now, let's discuss how many of these would you actually play as starting hands, and how many you would actually be daring enough to play until the river. :lol:

Up the Hill? All of them! :lol:

[mikef]

Next time I get 73 suited I'm raising :D

[terbear117]

I guess when I look at a topic such as this, I realize what a true poker addict I am. I not only read it but I GOT it. Scares me down to my hair folicles.... (sigh)

[TJ]

Yea, so many opprotunities and yet they hit so rarely.