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Pair Square
Introduction
"Pair Square,\" also known as \"Bet the Set\" or \"Any Pair,\" is among the most advantageous side bets in blackjack. It pays out when the player's initial two cards form a pair, with higher rewards for suited pairs. Throughout the years, I've encountered various pay tables related to this bet, and below are return tables for some examples.
Pair Square — 12-10 Pay Table — Six Decks
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Suited pair | 12 | 780 | 0.016077 | 0.192926 |
| Non-suited pair | 10 | 2808 | 0.057878 | 0.578778 |
| No pair | -1 | 44928 | 0.926045 | -0.926045 |
| Total | 48516 | 1.000000 | -0.154341 |
Pair Square — 12-12 Pay Table — Six Decks
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Suited pair | 12 | 780 | 0.016077 | 0.192926 |
| Non-suited pair | 12 | 2808 | 0.057878 | 0.694534 |
| No pair | -1 | 44928 | 0.926045 | -0.926045 |
| Total | 48516 | 1.000000 | -0.038585 |
Pair Square — 15-10 Pay Table — Six Decks
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Suited pair | 15 | 780 | 0.016077 | 0.241158 |
| Non-suited pair | 10 | 2808 | 0.057878 | 0.578778 |
| No pair | -1 | 44928 | 0.926045 | -0.926045 |
| Total | 48516 | 1.000000 | -0.106109 |
Pair Square — 20-10 Pay Table — Six Decks
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Suited pair | 20 | 780 | 0.016077 | 0.321543 |
| Non-suited pair | 10 | 2808 | 0.057878 | 0.578778 |
| No pair | -1 | 44928 | 0.926045 | -0.926045 |
| Total | 48516 | 1.000000 | -0.025723 |
Pair Square — 25-10 Pay Table — Two Decks
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Suited pair | 25 | 52 | 0.009709 | 0.242718 |
| Non-suited pair | 10 | 312 | 0.058252 | 0.582524 |
| No pair | -1 | 4992 | 0.932039 | -0.932039 |
| Total | 5356 | 1.000000 | -0.106796 |
Pair Square — 15 Pay Table — One Deck
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Non-suited pair | 15 | 78 | 0.058824 | 0.882353 |
| No pair | -1 | 1248 | 0.941176 | -0.941176 |
| Total | 1326 | 1.000000 | -0.058824 |
The following 25-8 pay table is used by Evolution Gaming , referred to as \"Any Pair,\" utilizes eight decks of cards. The rightmost cell indicates a house edge of 4.10%.
Pair Square — 25-8 Payout Structure — Eight Decks
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Suited pair | 25 | 1,456 | 0.016867 | 0.421687 |
| Non-suited pair | 8 | 4,992 | 0.057831 | 0.462651 |
| No pair | -1 | 79,872 | 0.925301 | -0.925301 |
| Total | 86,320 | 1.000000 | -0.040964 |
The following table provides a summary of the house edge for all well-known payout tables, apart from the 25-8 structure, categorized by the number of decks. A negative house edge signifies an advantage for the player, applicable to a combination of table and deck count that is rarely observed.
Pair Square — House Edge Summary
| Decks | 0-15 Pay table |
12-10 Pay table |
12-12 Pay table |
15-10 Pay table |
20-10 Pay table |
25-10 Pay table |
|---|---|---|---|---|---|---|
| 1 | 5.88% | 35.29% | 23.53% | 35.29% | 35.29% | 35.29% |
| 2 | 5.83% | 23.30% | 11.65% | 20.39% | 15.53% | 10.68% |
| 3 | 5.81% | 19.35% | 7.74% | 15.48% | 9.03% | 2.58% |
| 4 | 5.80% | 17.39% | 5.80% | 13.04% | 5.80% | -1.45% |
| 5 | 5.79% | 16.22% | 4.63% | 11.58% | 3.86% | -3.86% |
| 6 | 5.79% | 15.43% | 3.86% | 10.61% | 2.57% | -5.47% |
| 7 | 5.79% | 14.88% | 3.31% | 9.92% | 1.65% | -6.61% |
| 8 | 5.78% | 14.46% | 2.89% | 9.40% | 0.96% | -7.47% |