Texas Holdem Hand Trips

Posted : admin On 4/8/2022
Texas Holdem Hand Trips Average ratng: 9,2/10 2952 votes
5How many Poker Hands are there?

.Ultimate Texas Hold’em is owned, patented and/or copyrighted by Bally Technologies, Inc. Collect the Ante wager, Blind wager, any Trips bonus wager (if the hand is not a three of a kind or better) on behalf of the player-dealer; b. Take the player’s cards and individually spread out the cards, face down, and count.

The ranking of Hands for Ultimate Texas Hold’em in order from the highest to the lowest rank, shall be: Hand Dealt Hand Requirements Royal Flush A hand that consists of an ace, king, queen, jack and 10 of the same suit. A lot of Texas Hold 'Em strategy is based on the cards in your hand. You must be willing to suffer through a series of poor hands (e.g. 5-8, 2-6, 4-9) without getting impatient. The good hands will come, eventually, and you'll be in a better position to take advantage of them if you don't waste your chips trying to get something out of nothing.

There are 10 different hands ranks in Texas Hold’em – from a Royal Flush to a Straight to a lousy High Card. Here’s a comprehensive list of all Texas Hold’em poker hand rankings:

You can also print and download the Official Texas Hold’em hand ranking as a PDF file.

Chart: Poker Hand Ranking

K♥️
J♥️
Royal FlushHighest Straight Flush
7♣️
5♣️
Straight Flush5 suited cards in a row
9
9
Quads4 cards of the same rank
A
Q
Full House3 and 2 cards of the same rank
♠️
♠️
Flush5 suited cards
5
3
Straight5 cards in a row
J
Trips3 cards of the same rank
Q
8
Two Pair2 cards of the same rank twice
2
Pair2 cards of the same rank
High CardHighest cards

Download

Download the poker hand ranking charts image or PDF:

  • Official Poker Hand Rankings Image
  • Print: Poker Hand Rankings PDF

Official Poker Hand Rankings

  • Royal flush: A straight from a ten to an ace with all five cards in the same suit.
  • Straight Flush: Any straight with all five cards in the same suit.
  • Four of a Kind or Poker or Quads: Any four cards of the same rank. If two players share the same four of a kind (on the board), the larger fifth card (the “kicker”) decides who wins the pot.
  • Full House or Boat: Three cards of the same rank along with two cards of the same rank. In short: trips and a pair.
  • Flush: All five cards of the same suit (not necessarily consecutive). The highest card determines the rank of the flush.
  • Straight: Five consecutive cards (not necessarily the same suit). Aces can count as either high or low cards, but not as both at once. Meaning, a straight cannot go “around the corner”.
  • Trips: Three cards of the same value. If two players have the same trips the highest kicker decides who wins the pot.
  • Two Pair: Any two cards of the same rank together with two other cards of the same rank.
  • One Pair: Any two cards of the same rank.
  • High Card: Any hand that is none of the above hands.

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Poker Hand Rankings Explained

  • If two players have a Straight or Straight Flush, the higher Straight or Straight Flush wins.
  • If two players have a quads, the player with the highest quad wins. If they are identical, the highest kicker wins.
  • If two players have a flush, the player with the highest card in the flush wins. If they are identical, the second highest card decides, then the third highest, and so on. The suit of the flush does not matter.
  • If two players have a full house, the player with the higher trips wins. If they are identical, the player with the higher pair wins.
  • If two players have two pairs, the player with the bigger pair wins. If they are identical, the player with the higher pair wins. If they are also identical, the player with the highest kicker wins.
  • If two players have a pair, the player with the higher pair wins. If they are identical, the highest kicker wins, then the second highest, then the third highest.
  • If two players have a high card, the highest card wins. If they are identical, the second highest card decides, etc.

How many Poker Hands are there?

There are only 10 distinct poker hand ranks, but if you randomly deal 5 cards from a deck of 52 cards there are exactly 2,598,960 possible card combinations.

Poker Hand Odds for 5-Card-Poker

The poker hand ranking charts are based on the probability for each distinct hand rank. More unlikely combinations are ranked higher. Those are the probabilities and odds for all 5-card poker hands:

Poker Hand Odds for Texas Hold’em

If you’re playing Texas Hold’em, you have 7 cards to chose your hand from. There are 133,784,560 to deal 7 random cards. This changes the odds and probabilities for all poker hands a bit. Those are the probabilities and odds for all Texas Hold’em Poker hands:

Technically it’s more likely that you’re dealt at least a pair in Texas Hold’em than holding only high card. But “High Card” still remains the lowest rank.

FAQ: Poker Hand Rankings

Does 2 pairs beat a straight?

When playing Texas Hold’em (or any other popular poker variant) 2 pairs are always ranked below a straight.

Does 3 Aces beat a straight?

3 Aces are just trips (or three of a kind) in poker. When playing regular Texas Hold’em a straight is ranked above trips. There are however rule variations where trips can bet a straight, namely Short Deck Hold’em, a poker variant where all cards below 5 are removed.

Does 5 of a kind beat a royal flush?

In regular poker variants there are is no 5-of-kind rank. When playing with wildcards (joker) 5 of a kind are possible. In this case 5 of a kind are the highest possible poker hand and beat a royal flush.

Does a full house beat 3 aces?

Every full house always beats trips, no matter the rank of the trips. Even trip aces are always ranked below every possible full house.

Does Royal Straight beat flush?

A Royal Flush is the best possible poker hand and of course always beats any other flush.

Does straight beat a full house?

Every common poker variant, including Texas Hold’em, ranks a Full House above a straight. So no, a Straight never beats a Full House in Poker.

What beats a royal flush?

In all regular modern poker variations (including Texas Hold’em and Omaha) a Royal Flush is always the highest possible hand rank. A higher rank is only possible when playing with a Joker. In this case 5 of a kind (4 Aces plus Joker) beats a Royal Flush.

What can beat a flush in poker?

A Flush is a very strong hand in poker. The only hands that beat a Flush are Full House, Quads, Straight Flush, and Royal Flush.

How rare is a royal flush?

A Royal Flush is extremely rare. When playing Texas Hold’em you’ll only get one every 31,000 hands. And that assumes you never fold. The hand is so rare that most poker players can remember all Royal Flushes they have been dealt in their life time.

What are the odds of hitting a straight flush?

Straight Flushes are almost as rare as Royal Flushes. When playing Texas Hold’em you will hit a Straight Flush roughly every 3,600 hands (assuming you never fold any hand that can make a Straight Flush).

Can you have 3 pairs in poker?

There is no “3 pair” hand rank in poker. When playing Texas Hold’em it’s technically possible to have three pairs, but since a poker hand only consists of 5 cards only the 2 highest pairs are in play. For example, if you hold Q-J and the board reads Q-J-6-A-A you only have two pair: Aces and Queens.

Does Royal Flush have to be spades?

A Royal Flush can be any of the 4 suits, spades, hearts, diamonds, or clubs. It’s just that usually a Royal Flush is depicted in spades or hearts. Nevertheless, it doesn’t matter which suit, a Royal Flush is always the best Texas Hold’em Poker Hand.

How many kickers can you have in poker?

A poker hand can consist of up to 5 kickers. A player with no pair only has kickers. A player with one pair has 3 kickers, a player with trips has 2 kickers, and a player with 2 pair or quads has 1 kicker.

Is Ace a 1 in poker?

When building a straight an Ace can be used as a virtual “1” in poker. Meaning, A-2-3-4-5 is a straight. There are also lowball poker variations where the Ace counts as the lowest card.

Is an Ace 2 3 4 5 a straight?

Yes, the ace can count as the lowest card in a straight and function as a “1” when combined with 2-3-4-5.

Is JQKA 2 a straight?

A straight cannot go “around the corner”, the Ace can only be either the highest or the lowest card, not a card in the middle. So no, J-Q-K-A-2 is no straight in poker.

Is Queen King Ace 2 3 a straight?

A straight cannot go “around the corner”, the Ace can only be either the highest or the lowest card, not a card in the middle. So no, Q-K-A-2-3 is no straight in poker.

Is there a kicker on a straight?

For a straight you need to use all 5 cards. There are no cards left for a kicker. The rank of the straight is determined by the highest card. E.g. an ace-high straight beats a queen-high straight.

What is a flush in poker?

A flush in poker is hand which consists of 5 cards of the same suit. The same color (red or black) is not enough. It has to 5 spades, hearts, diamonds, or clubs.

What is the highest royal flush in poker?

There are no distinctions between the 4 possible Royal Flushes in poker. A Royal Flush in spades is as good as a Royal Flush in hearts, diamonds, or clubs.

What is the highest suit in Texas Hold’em poker?

Only in very rare occasions (for example when dealing for the button) the suits are ranked in poker. In this case the ranking is: 1. spades, 2. hearts, 3. diamonds, 4. clubs. Suits are otherwise generally not ranked in poker. A Flush in spades is as good as a flush in any other suit, only the ranks of the cards matter.

What is the lowest pair in a game of poker?

In poker the lowest possible pair is a pair of Deuces (twos).

How do you win bad beat jackpots in poker?

To win a bad beat jackpot in poker you need to lose with a very strong hand, usually a strong Full House (Aces Full). It’s also necessary that both, the winning hand losing player, user both of their hole cards. E.g. losing with quads on the board does not count.

What are the odds of hitting a bad beat jackpot in poker?

The odds of hitting a bad beat jackpot in poker depend on the rules for the jackpot. If you have to lose with Aces Full or better your odds of hitting the bad beat jackpot are 1:58,948. If you have to lose with quads or better your odds are 1:624,609 (assuming a 10 player table where nobody ever folds).

What is a bad beat in poker?

If you lose with a very strong hand against an even stronger hand this is called a “bad beat”. It is also a bad beat if you lose an all-in while being far ahead and you opponent wins by catching some miracle cards.

How many 5 stud poker hands are there?

5 Card Stud is one of the oldest poker variants where each player is dealt 5 cards. There are exactly 2,598,960 different 5 stud poker hands possible.

How many poker hands are there?

There are only 10 distinct poker hand ranks, but if you randomly deal 5 cards from a deck of 52 cards there are exactly 2,598,960 possible card combinations. If you’re playing Texas Hold’em, you have 7 cards to chose your hand from. There are 133,784,560 to deal 7 random cards.

What happens if two hands tie in poker?

It’s possible (and not too uncommon) for two players to have the same hand in poker. In this case the pot is split and both players receive half the pot.

Starting

What happens if two people have a royal flush?

When playing Texas Hold’em it’s almost impossible for two players to have a Royal Flush. For that to happen the 5 community cards need to form a Royal Flush. In that case all players in the hand win and split the pot.

What happens if two poker hands are the same?

If two players have the same hand, the pot is split and both players win half of it. This can happen for example if both players have the same cards (e.g. Ace-King) and nobody makes a Flush.

How do you hit a royal flush on video poker?

In Video Poker you can win the jackpot when you hit a Royal Flush. To maximize your chances you should always keep all suited cards 10 or above (if you have at least 2) and discard the rest. You will see a Royal Flush roughly once every 40,000 spins.

What are the odds of hitting a royal flush on a video poker machine?

The odds of hitting a royal flush directly are only 1 in 649,739. But since you can draw one time your odds increase. If you play perfectly your odds of hitting a royal flush are roughly 1 in 40,000.

Relevant Resources

Article Rating

WoT
I've been to casinos where trips is paid regardless if the player wins the hand. I've also been to casinos where trips is ONLY paid if the player wins the hand.
How much bigger is the house edge for trips on Ultimate Texas Holdem if trips is ONLY paid on hands where the player wins?
Trips Payout Scale:
50
40
30
8
7
4
3
Mission146
Thanks for this post from:
Does a Push between player and dealer result in a Trips bet Push or loses the Trips bet?
beachbumbabs
Administrator
Thanks for this post from:
Holdem

I've been to casinos where trips is paid regardless if the player wins the hand. I've also been to casinos where trips is ONLY paid if the player wins the hand.
How much bigger is the house edge for trips on Ultimate Texas Holdem if trips is ONLY paid on hands where the player wins?
Trips Payout Scale:
50
40
30
8
7
4
3


Fwiw. Trips is designed to be an independent event. The distributor (Scientific Gaming Inc) does not want casinos to offer the game in a fashion that requires the player to bet the play if they don't want to. Last I heard, when SCI hears of those procedures, they go to the casino and insist the game is offered in accordance with the lease. So you might consider informing them of any casino that's currently doing this.
It's come up before. If I recall correctly, it adds less than 1% to the game HE, because it doesn't come up that often. Maybe someone has an actual number?
It would take a result on the board like trips or quads, perhaps a flush with a deuce on the board in limited cases (like somehow you know nobody else on your full table has the board flush suit in hand). Otherwise you'd be playing for the push and win, and be in anyway.
OK, I read your post again. I think I misunderstood what you asked, because what I described is a pet peeve of mine.
There are states/jurisdictions where the player MUST win the Trips bet to get paid. The paytable for those are usually better than the one you posted because of that. I think you probably quoted one where you don't have to win to get paid.
The places I've seen that beat the dealer rule are in Florida (non-NA card rooms - the Seminoles pay it properly ), some parts of CA, and several Indian casinos. I just refuse to play in their casinos.
If the House lost every hand, they wouldn't deal the game.
WoT
In this casino a push between the player and dealer will result in a trips bet push as well.
Mission146
Thanks for this post from:

In this casino a push between the player and dealer will result in a trips bet push as well.


If nobody else gets to this, I’ll be on it later tonight or tomorrow for you. It’s pretty easy, just time consuming.
Vultures can't be choosers.
WoT

Fwiw. Trips is designed to be an independent event. The distributor (Scientific Gaming Inc) does not want casinos to offer the game in a fashion that requires the player to bet the play if they don't want to. Last I heard, when SCI hears of those procedures, they go to the casino and insist the game is offered in accordance with the lease. So you might consider informing them of any casino that's currently doing this.
It's come up before. If I recall correctly, it adds less than 1% to the game HE, because it doesn't come up that often. Maybe someone has an actual number?
It would take a result on the board like trips or quads, perhaps a flush with a deuce on the board in limited cases (like somehow you know nobody else on your full table has the board flush suit in hand). Otherwise you'd be playing for the push and win, and be in anyway.
OK, I read your post again. I think I misunderstood what you asked, because what I described is a pet peeve of mine.
There are states/jurisdictions where the player MUST win the Trips bet to get paid. The paytable for those are usually better than the one you posted because of that. I think you probably quoted one where you don't have to win to get paid.
The places I've seen that beat the dealer rule are in Florida (non-NA card rooms - the Seminoles pay it properly ), some parts of CA, and several Indian casinos. I just refuse to play in their casinos.


You are right. I posted the wrong the trips payout scale. The correct trips payout scale for this casino is:
50
40
30
10
8
6
3
You have to beat the dealer to win the trips bet. A push with the dealer result in a trips bet push.
If I calculated it correctly, this results in +0.139601% return for the trips bet which makes it appear attractive at first glance but that doesn't take into account that you don't get paid on trips bet unless you beat the dealer.
Edit: Thanks for your time and replies.WoT
Thanks for this post from:

If nobody else gets to this, I’ll be on it later tonight or tomorrow for you. It’s pretty easy, just time consuming.


Thanks, I appreciate your time and replies. I've included the correct trips payout scale in an earlier post. I posted the wrong payout scale in the original post.beachbumbabs
Administrator
Thanks for this post from:

You are right. I posted the wrong the trips payout scale. The correct trips payout scale for this casino is:
50
40
30
10
8
6
3
You have to beat the dealer to win the trips bet. A push with the dealer result in a trips bet push.
If I calculated it correctly, this results in +0.139601% return for the trips bet which makes it appear attractive at first glance but that doesn't take into account that you don't get paid on trips bet unless you beat the dealer.
Edit: Thanks for your time and replies.


Yeah, if you're coming up with .14%, there's something wrong there. It's more like 9-10%, where the regular Trips paytables are 5-7%
If the House lost every hand, they wouldn't deal the game.
WoT

Yeah, if you're coming up with .14%, there's something wrong there. It's more like 9-10%, where the regular Trips paytables are 5-7%


My mistake again. I meant 14%.Mission146
Thanks for this post from:

You are right. I posted the wrong the trips payout scale. The correct trips payout scale for this casino is:
50
40
30
10
8
6
3
You have to beat the dealer to win the trips bet. A push with the dealer result in a trips bet push.
If I calculated it correctly, this results in +0.139601% return for the trips bet which makes it appear attractive at first glance but that doesn't take into account that you don't get paid on trips bet unless you beat the dealer.
Edit: Thanks for your time and replies.


Okay, so the first thing that we want to do is calculate the overall return for the paytable listed above as if losing the main bet did not lose the Trips bet. We can get our probabilities from the WoO UTH page:
https://wizardofodds.com/games/ultimate-texas-hold-em/
(50 * 0.000032) + (40 * 0.000279) + (30 * 0.001681) + (10 * 0.025961) + (8 * 0.030255) + (6 * 0.046194) + (3 * 0.048299) - (.8473) = 0.139601
This results in an expected profit of .139601 units, which is a 13.9601% player advantage.
Now, we have an even easier job than I thought thanks to the Bad Beat side bet in Liechtenstein, which is listed on the WoO UTH page:

Texas Holdem Hand Trips Near Me


https://wizardofodds.com/games/ultimate-texas-hold-em/
This bet pays varying amounts if either player or dealer lose with a 3OaK, or better. All we need to do to get the overall percentage we need to subtract from above is to subtract half of the bad beat probability from each hand from the overall probability. (Player and Dealer each do it half the time) The table for this also conveniently includes the Push rate for us!
Straight Flush: 0.000004/2 = .000002
4OaK: 0.000169/2 = .0000845
Full House: 0.003033/2 = .0015165
Flush: 0.006987/2 = 0.0034935
Straight: 0.006569/2 = .0032845
3OaK = 0.023028/2 = .011514
Okay, so each of these individual probabilities need to be subtracted from the wins on the formula above. The cumulative probability also must be added to the loss rate, so let's go ahead and get that:
.000002 + .0000845 + .0015165 + .0034935 + .0032845 + .011514 = 0.019895
Now, we have to adjust the formula above:
(50 * 0.000032) + (40 * (0.000279-.000002)) + (30 * (0.001681-.0000845)) + (10 * (0.025961-.0015165)) + (8 * (0.030255-.0034935)) + (6 * (0.046194-.0032845)) + (3 * (0.048299-.011514)) - (.8473 +.019895) = 0.019729
Okay, that returns an expected return of 1.9729 cents per dollar bet, but this does not include pushes.
We're going to have to get a little creative to approximate a Push rate here. The first thing that we know is that the following hands can only be pushed with all five on the board:
Royal*
Straight Flush*
4OaK
Full House
Flush*
Straight
3OaK
Therefore, the probability of pushing those hands is instantly the same as the five card probabilities for each hand:
0.00000154+.0000139+.001965= 0.00198044
Thus, we subtract those from the win rates for each respective hand:
(50 * (0.000032-.00000154)) + (40 * (0.000279-.000002-.0000139)) + (30 * (0.001681-.0000845)) + (10 * (0.025961-.0015165)) + (8 * (0.030255-.0034935-.001965)) + (6 * (0.046194-.0032845)) + (3 * (0.048299-.011514)) - (.8473 +.019895) = 0.003376
That knocks us down to an expected win of .003376 or a player advantage of 0.3376%.
This does not account for pushing with a 4OaK, Full House, Straight or 3OaK.
What we do know is that a Full House on the board would either have to push, or would be a win for either the player or the dealer. The wins for the dealer FH beating the player FH have already been accounted for. A hand such as AA999 with either the player (or dealer) having an Ace, but not the other, would be a win for the dealer or player. If both dealer and player had an Ace, then this hand would again be a push. Player or dealer winning with both having FH have already been accounted for.
For the purposes of approximation, let's just assume that any FH on the board is a push.
(50 * (0.000032-.00000154)) + (40 * (0.000279-.000002-.0000139)) + (30 * (0.001681-.0000845)) + (10 * (0.025961-.0015165-.001441)) + (8 * (0.030255-.0034935-.001965)) + (6 * (0.046194-.0032845)) + (3 * (0.048299-.011514)) - (.8473 +.019895) = -0.011034
By itself, that brings us to an expected loss of 1.1034 cents (very approximated) for each dollar bet. This represents, at a minimum, a 1.1034% house edge.
That leaves us with Push 3OaK's, Straights and 4OaK's, and all of that is, unfortunately, above my pay grade. I also can't see any easy way to find those figures.
For what it's worth, the majority of board straights will push and the probability of a board straight is .003925. Any Ace high board straight will push, so that probability is:
(20/52 * 16/51 * 12/50 * 8/49 * 4/48) - 0.00000154 = 0.00039246375 (The .00000154 subtracts royals)
Next, the probability of any other dealt straight is: .003925 - .00039246375 = 0.00353253625
The probability that neither dealer or player will have the next card to continue other straights is:
(43/47 * 42/46 * 41/45 * 40/44) = 0.69189583158
So (0.00353253625*.69189583158) + .00039246375 = 0.00283661085
Is the probability of an Ace high straight, or a straight in which both dealer and player cannot continue the straight.
(50 * (0.000032-.00000154)) + (40 * (0.000279-.000002-.0000139)) + (30 * (0.001681-.0000845)) + (10 * (0.025961-.0015165-.001441)) + (8 * (0.030255-.0034935-.001965)) + (6 * (0.046194-.0032845-0.00283661085)) + (3 * (0.048299-.011514)) - (.8473 +.019895) = -0.0280536651
That brings us to a House Edge of 2.80536651% which doesn't include:
A.) The fact that some three-to-a-straight and four-to-a-straights on the board will push with both having straights.
B.) The fact that some five card straights on the board will be continued by both player and dealer and will push.
C.) The fact that a few 4OaKs will push. All of which will be on the board.
D.) The fact that some 3OaKs will push.
E.) Assumes that any FH on the board will push, which isn't true, but is somewhat offset by the fact that we are not including Two Pairs on the board which both dealer and player turn into a Full House of the same rank.
All 4OaK must be on the board and roughly 1/13 would include an Ace kicker or be Aces with a King kicker.
.000240 * 1/13 = 0.00001846153
All other 4 Oaks are .000240-.00001846153= 0.00022153847
(50 * (0.000032-.00000154)) + (40 * (0.000279-.000002-.0000139)) + (30 * (0.001681-.0000845-.00001846153)) + (10 * (0.025961-.0015165-.001441)) + (8 * (0.030255-.0034935-.001965)) + (6 * (0.046194-.0032845-0.00283661085)) + (3 * (0.048299-.011514)) - (.8473 +.019895) = -0.028607511
Also, many 4OaKs will not have an Ace kicker, but neither player or dealer will be able to outkick the kicker.
King Kicker, No Ace 0.00022153847 * (43/47 * 42/46 * 41/45 * 40/44) = 0.00015328154
Queen Kicker, NO AK 0.00022153847 * (39/47 * 38/46 * 37/45 * 36/44) = 0.00010215995
Jack Kicker, No QKA 0.00022153847 * (35/47 * 34/46 * 33/45 * 32/44) = 0.0000650338
10 Kicker, No J-A 0.00022153847 * (31/47 * 30/46 * 29/45 * 25/44) = 0.00003489387
9 Kicker, No 10-A 0.00022153847 * (27/47 * 26/46 * 25/45 * 24/44) = 0.00002179799
8 Kicker, No 9-A 0.00022153847 * (23/47 * 22/46 * 21/45 * 20/44) = 0.00001099836
7 Kicker, No 8-A 0.00022153847 * (19/47 * 18/46 * 17/45 * 16/44) = 0.00000481419

Texas Holdem Hands

6 Kicker, No 7-A 0.00022153847 * (15/47 * 14/46 * 13/45 * 12/44) = 0.00000169539
5 Kicker, No 6-A 0.00022153847 * (11/47 * 10/46 * 9/45 * 8/44) = 0.00000040987691
4 Kicker, No 5-A 0.00022153847 * (7/47 * 6/46 * 5/45 * 4/44) = 0.0000000434717935
3 Kicker, All Deuces 0.00022153847 * (4/47 * 3/46 * 2/45 * 1/44) = 0.00000000124205124
That means an additional:
0.00000000124205124+0.0000000434717935+0.00000040987691+0.00000169539+0.00000481419+0.00001099836+0.00002179799+0.00003489387+0.0000650338+0.00010215995+0.00015328154 = 0.00039512968 of the 4OaK will tie by those means.
(50 * (0.000032-.00000154)) + (40 * (0.000279-.000002-.0000139)) + (30 * (0.001681-.0000845-.00001846153-.00039512968)) + (10 * (0.025961-.0015165-.001441)) + (8 * (0.030255-.0034935-.001965)) + (6 * (0.046194-.0032845-0.00283661085)) + (3 * (0.048299-.011514)) - (.8473 +.019895) = -0.0404614014
That brings us to a 4.04614014% House Edge not including:
A.) The fact that some three-to-a-straight and four-to-a-straights on the board will push with both having straights.
B.) The fact that some five card straights on the board will be continued by both player and dealer and will push.
C.) The fact that a few 4OaKs will push that we have not listed by way of dealer and player having the same kicker card in each of their hands.
D.) The fact that some 3OaKs will push.
E.) Assumes that any FH on the board will push, which isn't true, but is somewhat offset by the fact that we are not including Two Pairs on the board which both dealer and player turn into a Full House of the same rank.
In any case, we have conclusively determined that this is not a player advantage despite the paytable that appears liberal. A surprising number of these hands will either push or will be beaten by the dealer. In sum, (1-(0.919536+0.040674))/2 = .019895, or nearly 2% of all hands, will have the player with 3OaK or better getting beaten by the dealer.
I'm going to guess that, if we factor in the missing hands, the house edge is probably going to come out in the neighborhood of 5%. Why any casino would want to offer this weird side bet is beyond me. Part of what players seem to like about the Trips bet is that they profit (or at least get some money back) when they have a strong hand that is beaten by the dealer. They also get paid for pushes.

Texas Holdem Hands Order

Getting into anything that requires actual simulation or programming is beyond my abilities, sorry about that. Honestly, I thought I saw something on Heads-Up Texas Hold 'Em somewhere that discussed the overall probabilities of pushing each given hand rank on the final hand (that would have made this much easier) but I was either mistaken or just can't seem to find it again.

Texas Holdem Hand Trips Games


At a guess, I'd say a house edge between 5-7%.

Texas Holdem Starting Hands

Vultures can't be choosers.