Playing High Pocket Pairs in Criss Cross Poker
J-J, Q-Q, K-K and A-A guarantee a qualifying high pair in both hands. We ran all 63,562,800 ways the board can fall to price exactly what that is worth.
- J-J
- Q-Q
- K-K
- A-A
- 3x MAX Across
- 3x MAX Down
- 3x MAX Middle
A high pocket pair qualifies in both directions before a single community card turns over.
Why High Pocket Pairs Are So Valuable
Both of your hole cards play in both directions. A pair of jacks or better is already a paying hand before the board is dealt.
Every hand in Criss Cross Poker uses your two hole cards twice: once with the three horizontal community cards for the Across hand, and once with the three vertical cards for the Down hand. Hold two cards of the same rank and both of those hands start with a pair already made. What matters next is where the pay table splits.
| Pair you hold | Result |
|---|---|
| Jacks or better | Pays 1 to 1 |
| 6s through 10s | Pushes |
| 5s or lower | Loses |
That is the whole reason J-J is the line. Four starting pairs sit above it, and each one of them is a qualifying high pair in the Across hand and the Down hand at the same time.
- At least a qualifying high pair
- At least a qualifying high pair
- At least a qualifying high pair
- At least a qualifying high pair
No community card can remove the starting pair.
A pocket pair can never make a straight or a flush
This is worth knowing before you look at any improvement chart. Your two cards share a rank, so five cards can contain at most four distinct ranks, and a straight needs five. Your two cards are also different suits, so you can never hold more than four cards of any one suit, and a flush needs five. Neither hand can get there, in either direction, on any board.
Every improvement a pocket pair can make therefore runs straight up the pairs ladder: two pair, three of a kind, a full house, four of a kind. Nothing else is available. See the full ladder on hand rankings.
The J-J cutoff, quantified
The clearest way to see how much that pay table split is worth is to run the same exhaustive board calculation for three different starting pairs.
| Starting pair | Ante EV per unit | Line bet EV per unit |
|---|---|---|
| J-J or better | +1.000000 | +1.580408 |
| 10-10 | +0.281633 | +0.862041 |
| 5-5 | −0.436735 | +0.143673 |
The board behaves identically in all three cases; the whole difference is where the pay table splits. That is the strongest argument on this site for reading the pay tables before you sit down.
How to Bet a High Starting Pair
There is no decision to agonise over. Post both antes, then take the maximum on all three lines.
- 1 Post both antes $10 $10
- 2 Maximum Across bet 3x
- 3 Maximum Down bet 3x
- 4 Maximum Middle bet 3x
The Middle bet is graded on the stronger of your Across and Down hands.
Why maximum is the right answer
Because every one of those wagers has a positive expectation, and a large one. Over every possible board, holding J-J or better, the ante is worth exactly +1.000000 per unit: it cannot lose, because a high pair already beats the ante requirement. Each line bet is worth +1.580408 per unit. The Middle bet, which is graded on the better of your two hands and so gets the benefit of whichever direction improves, is worth +2.018131 per unit. When a bet returns more than it costs on average, every extra unit you are allowed to stake adds to your expectation, so you take all of them. That is why there is no thinking to do here, and why this hand sits at the top of the strategy chart. The Middle bet in particular is the strongest of the three; its grading rule is explained in full on the Middle bet page.
Maximum means the table maximum on these three bets, which is normally 3x the ante. It does not mean raising your ante. Your ante size is a bankroll decision you make before the deal, and this hand does not change it, because you cannot know the hand is coming when you post.
A $10 Ante Example
Eleven units on the table, priced against every board the deck can produce.
Put the plan from section 2 into money. At a $10 ante you post two antes and take 3x on each of the three lines, which is the standard maximum exposure of eleven units.
| Wager | Amount |
|---|---|
| Across Ante | $10 |
| Down Ante | $10 |
| Across Bet at 3x | $30 |
| Down Bet at 3x | $30 |
| Middle Bet at 3x | $30 |
| Total wagered | $110 |
- +$175.37 Expected profit on this hand
- $285.37 Average total returned on $110
- 259.43% Return on the amount staked
Computed by evaluating all 19,600 three-card combinations per line and all 63,562,800 board arrangements. Nothing is sampled.
Even the dullest outcome pays. If both hands finish as just the pair, which happens on 71.8367% of boards, every qualifying wager still pays, so the hand profits in its most ordinary result. That is the effect of a high pair clearing the paying line on both the antes and the three pay table bets at once.
This is one starting hand, not the game. J-J or better arrives on 1.81% of hands, about once in 55. Both antes are posted before you see a card, so you pay for the other 98.19% of hands to reach this one. Across every starting hand the game still carries a 4.33% house edge on the ante, or 1.48% as element of risk, and nothing on this page changes that. The full picture is on strategy and probability.
Ways the Pair Can Improve
The five community cards give the pair two separate chances to grow, the horizontal three making the Across hand and the vertical three making the Down hand, with the centre card counted in both.
Take the showcase hand, . Across all 19,600 three-card boards one line can be dealt, it finishes in one of five ways, and only four of them are improvements on the pair you started with.
Two pair
The board brings a second pair alongside your aces.
16.1633% of boards
Three of a kind
One community card matches your pair.
10.7755% of boards
Full house
A matching card plus another pair on the board.
0.9796% of boards
Four of a kind
Two community cards match your pair.
0.2449% of boards
No improvement, just the pair
The board misses you completely and the pair stands on its own. This is still a winning hand: a pair of jacks or better pays 1 to 1.
71.8367% of boards
Those five outcomes cover every board there is, and they sum to exactly 100%. They are also identical for J-J, Q-Q, K-K and A-A: the rank of the pair changes nothing about how often the board improves it.
The ceiling: no straight, no flush
A pocket pair cannot make a straight or a flush in this game. Two cards of the same rank leave you at most four distinct ranks across five cards, so a straight is impossible; and your two hole cards are different suits, so you can hold at most four cards of any one suit, so a flush is impossible too. The pairs ladder is the whole of your upside, which is exactly why two pair and three of a kind carry so much of the value here. The full ladder is set out in the hand rankings guide.
A matching centre card improves both hands at once, because the centre belongs to the horizontal row and the vertical column.
That is why the centre card is worth watching more closely than the other four. It is the only card on the table that can lift the Across hand, the Down hand and the Middle bet in the same moment, because the Middle is graded on the better of the two lines and both lines run through the centre. A blank in the top or bottom position costs you one line; an ace in the centre pays on all three. The Middle bet guide covers how that shared card shapes the wager.
Keep the 5-Card Bonus Separate
The bonus is dealt in the same hand as your main bets, but it is settled on a different set of cards, so it belongs in a different column of your arithmetic.
The main wagers
- Graded on your two hole cards plus three community cards.
- Covers the Across, Down and Middle bets, plus both antes.
- A high pocket pair matters enormously here: it is already a paying hand before the first community card is turned.
The 5-Card Bonus
- Settled on the five community cards only.
- Your hole cards never contribute to it, not one of them, not ever.
- A high pocket pair has no effect on it whatsoever. Aces and deuces are worth exactly the same to this bet: nothing.
Work out the value of the optional bonus separately. It shares a deal with your main bets, and nothing else.
There is a specific mistake to avoid here. Because the bonus is dealt at the same time as everything else, it is easy to fold its result into your view of how the hand went, and to let a bonus that missed sour a pair of kings that paid, or a bonus that hit flatter a hand that did not. Do not. The bonus carries a house edge of 3.53% and that number does not move when your hole cards are strong, so including it in the value of a pocket pair overstates one and understates the other. Judge the bonus on its own terms, using the arithmetic in the 5-Card Bonus guide, and judge the pocket pair on the three wagers it can actually reach.
What the Exact Numbers Say
Every wager on a high pocket pair, priced against every board that can possibly fall.
Most valuations of this holding stop at "it is a strong hand". We priced it instead. For one line, the pair was evaluated against all 19,600 three-card combinations available from the 50 cards left in the deck. For the Middle bet, which is graded on the better of the two lines, the pair was evaluated against all 63,562,800 ways the five community cards can fall into the cross: the centre card first, then two horizontal and two vertical from what remains. Nothing was sampled and nothing was estimated. The figures below are the complete enumeration, and they are identical for J-J, Q-Q, K-K and A-A, because all four are already a high pair on the pay table before a single community card turns over.
| Wager | Expected value per unit | Note |
|---|---|---|
| Ante Across | +1.000000 | cannot lose with a high pocket pair |
| Ante Down | +1.000000 | cannot lose with a high pocket pair |
| Across bet | +1.580408 | |
| Down bet | +1.580408 | |
| Middle bet | +2.018131 | graded on the stronger hand |
| Two antes plus 3x on all three lines, 11 units | +17.5368 units |
Correcting the Figures That Circulate
A particular set of numbers for this holding has been repeated widely enough that you will probably meet it. It does not match an exhaustive calculation. Here is what circulates, and here is what the full computation gives.
Figures that circulate
- $158.42 expected profit per hand
- 144% return
- A negative 144% house edge
None of these match an exhaustive calculation.
What the full computation gives
- +$175.37 on a $110 stake
- 259.43% return on the amount staked
- +17.5368 units at 11 units risked
Enumerated over every board, not sampled.
This is one starting hand, not the game. Everything above describes what happens once you are holding J-J or better. You are dealt that on 1.81% of hands, about once in every 55. On the other 98.19% you are the one paying for it, and there is no way to sit and wait: both antes go in before you see a card, so you pay the full price of every other hand in order to reach this one. Across all starting hands the game still carries a 4.33% house edge on the ante, or 1.48% measured as element of risk, and nothing on this page changes that number.
Be precise about which claim is which. The ante genuinely cannot lose on this holding: a high pair already beats the ante requirement, so its loss probability is zero. The hand overall is hugely favourable on average, but that average is an expected value over every possible board, and individual boards still vary. How the probabilities are worked out Where the high-pair split sits
The Practical Decision
Strip away the arithmetic and one instruction is left.
When you are dealt J-J or better, make the maximum Across, Down and Middle wagers the table allows.
- Both hands already qualify. Your pair sits in the Across hand and the Down hand at the same time, so each ante is paid before a community card is turned over.
- The board can only improve them. There is no board that takes the pair away. The worst result is the high pair you started with, and 28.16% of boards lift a line to two pair or better.
- Confirm the table limits first. The standard maximum is 3x on each of the three lines, 11 units in all with the two antes, but the raise cap is set by the house. Check what the felt allows before you sit down.
This is one of the few spots in the game where the recommendation carries no caveats about board texture or position: the holding is exceptionally favourable, so play it aggressively every time it appears. What it does not do is make the game profitable or remove the casino’s advantage. It is a very good hand inside a game you will still lose money at over time, and the two statements are entirely compatible.
Play within a fixed bankroll. Set the limit before you sit down, while the numbers are still abstract, and size the ante off that limit rather than off the table minimum. A hand this strong is worth betting to the maximum, and a bankroll decided in advance is what makes that affordable. Setting a limit that holds
Common Questions
The four questions people ask most about high pocket pairs, answered from the same enumeration used throughout this page.
Should you always bet the maximum with a high pocket pair?
Yes. With J-J, Q-Q, K-K or A-A the numbers are identical for all four pairs and every wager is strongly favourable, so play the full 11 units: two antes plus 3x on each of the three lines. Each ante returns exactly 1.000000 per unit and genuinely cannot lose, because a high pair already beats the ante requirement before a community card turns over. The Across bet and the Down bet each return 1.580408 per unit, and the Middle bet, graded on the better of the two lines, returns 2.018131 per unit. Playing the standard maximum, the total expected value is 17.5368 units. That is an expected value over every possible board, not a promise about one hand: individual boards still vary, and only the ante is safe. The printable strategy chart
Can a pocket pair make a straight or a flush in Criss Cross Poker?
No, and it is worth knowing why. Your two hole cards share a rank, so a five-card hand built from them holds at most four distinct ranks, and a straight needs five. Your two hole cards are also of different suits, so a five-card hand holds at most four cards of any one suit, and a flush needs five. Every improvement therefore runs up the pairs ladder instead: two pair, three of a kind, a full house or four of a kind. Across every board, one line finishes as just the high pair 71.8367% of the time, two pair 16.1633%, three of a kind 10.7755%, a full house 0.9796% and four of a kind 0.2449%. The full hand ranking ladder
How often are you dealt J-J or better?
There are 1,326 possible two-card starting hands, and 24 of them are J-J, Q-Q, K-K or A-A. That is 1.81%, or about one hand in 55. Any pocket pair at all, right down to 2-2, is 78 of the 1,326, which is 5.88%, or about one hand in 17. You cannot wait for the good ones either: both antes are posted before you see a card, so you pay the full price of every other hand in order to reach this one. How the frequencies are worked out
Does a high pocket pair make Criss Cross Poker beatable?
No, it does not. J-J or better arrives on 1.81% of hands, about once every 55, and on the other 98.19% you are the one paying for it. Across every starting hand the game still carries a 4.33% house edge on the ante, or 1.48% measured as element of risk, and nothing on this page changes that number. Because both antes go in blind, there is no way to sit out the weak hands and play only the strong ones. A high pocket pair is a hugely favourable hand inside a game that remains a losing proposition over time. This site is free, uses play money only and accepts no wagers. Sizing a session budget
Deal Yourself a Few Pocket Pairs
The free table deals real hands with the same pay table, and the built-in coach shows the recommended action at each of the three decisions.
Criss Cross Poker is a table game from AGS, developed by Ron LaDuca and In Bet Gaming. Overall house-edge figures follow the published analysis at Wizard of Odds. The pocket-pair expected values on this page were computed with this site’s own engine, across all 19,600 three-card line combinations and all 63,562,800 board arrangements, with nothing sampled. This site is free to play, uses play money only, and accepts no wagers.