Three Card Poker - Pair Plus Analysis
There a variety of pay tables for the Pair Plus bet. Below are tables using some the most commonly found pay tables from lowest to highest house advantage. The house advantage is given in percentage terms which is equivalent to the dollar amount a player will lose for every $100 wagered on the Pair Plus bet. There is no strategy involved with this bet as there are no decisions for the player to make other than the initial wager which occurs before any cards are seen.
The total return/house advanatge is calculated by multiplying the probability by the pay out for each possible outcome and summing. The Pair Plus Odds Calculator can be used to determine the house advantage for any other pay table you may encounter.
Pay Table 1
| Rank | Probability | Pay Out | Return |
|---|
| Straight Flush | 0.002172 | 40 to 1 | 0.086878 |
| Three of a Kind | 0.002353 | 30 to 1 | 0.070588 |
| Straight | 0.032579 | 6 to 1 | 0.195475 |
| Flush | 0.049593 | 4 to 1 | 0.198371 |
| Pair | 0.169412 | 1 to 1 | 0.169412 |
| Nothing | 0.743891 | -1 to 1 | -0.743891 |
| Total | 1.000000 | | -0.023167 |
House Advantage: 2.3167%
Pay Table 2
| Rank | Probability | Pay Out | Return |
|---|
| Straight Flush | 0.002172 | 40 to 1 | 0.086878 |
| Three of a Kind | 0.002353 | 25 to 1 | 0.058824 |
| Straight | 0.032579 | 6 to 1 | 0.195475 |
| Flush | 0.049593 | 4 to 1 | 0.198371 |
| Pair | 0.169412 | 1 to 1 | 0.169412 |
| Nothing | 0.743891 | -1 to 1 | -0.743891 |
| Total | 1.000000 | | -0.034932 |
House Advantage: 3.4932%
Pay Table 3
| Rank | Probability | Pay Out | Return |
|---|
| Straight Flush | 0.002172 | 40 to 1 | 0.086878 |
| Three of a Kind | 0.002353 | 30 to 1 | 0.070588 |
| Straight | 0.032579 | 5 to 1 | 0.162896 |
| Flush | 0.049593 | 4 to 1 | 0.198371 |
| Pair | 0.169412 | 1 to 1 | 0.169412 |
| Nothing | 0.743891 | -1 to 1 | -0.743891 |
| Total | 1.000000 | | -0.055747 |
House Advantage: 5.5747%
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