66
81.50%
Wins 80.57%, ties 1.88%
53s
18.50%
Wins 17.55%, ties 1.88%
66 against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 66 | 80.567 | 1.875 | 17.558 | 81.504 |
| 53s | 17.558 | 1.875 | 80.567 | 18.496 |
The matchup pits a pocket pair against a suited hand. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.
66 is a big favorite here before anyone sees a flop. 1.88% of boards are ties, so the equity of each hand is its win rate plus half of that.
66 ranks number 17 of 169 starting hands, and 53s ranks number 146, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 66 | 33,109,000 | 771,000 | 7,216,000 |
| 53s | 7,216,000 | 771,000 | 33,109,000 |
The total is exact: 24 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| 66 | 4.407 | 1.241 | 5.695 | 0.227 |
| 53s | 0.227 | 5.695 | 1.241 | 4.407 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
The flop changes the picture. 66 does best on rainbow flops topped by a ten or better, at 85.15%, and worst on monotone flops, at 75.74%. 66 stays ahead on all five textures.
| Flop | Share of flops | 66 wins | Ties | 53s wins | 66 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 84.583 | 1.130 | 14.287 | 85.148 |
| Rainbow, nine or lower | 5.065 | 76.782 | 0.762 | 22.456 | 77.163 |
| Two-tone | 46.545 | 79.595 | 1.007 | 19.398 | 80.099 |
| Monotone | 5.212 | 74.181 | 3.123 | 22.696 | 75.742 |
| Paired | 17.334 | 80.213 | 5.271 | 14.516 | 82.848 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of +18.21 points for 66, from 63.29%, and -21.19 for 53s, from 39.69%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 66, all flops | 81.504 | 63.285 | +18.219 | 1.28789 |
| 66, rainbow, ten or higher | 85.148 | 63.285 | +21.863 | 1.34547 |
| 66, rainbow, nine or lower | 77.163 | 63.285 | +13.878 | 1.21929 |
| 66, two-tone | 80.099 | 63.285 | +16.814 | 1.26569 |
| 66, monotone | 75.742 | 63.285 | +12.457 | 1.19684 |
| 66, paired | 82.848 | 63.285 | +19.563 | 1.30913 |
| 53s, all flops | 18.496 | 39.693 | -21.197 | 0.46598 |
| 53s, rainbow, ten or higher | 14.852 | 39.693 | -24.841 | 0.37417 |
| 53s, rainbow, nine or lower | 22.837 | 39.693 | -16.856 | 0.57534 |
| 53s, two-tone | 19.901 | 39.693 | -19.792 | 0.50137 |
| 53s, monotone | 24.258 | 39.693 | -15.435 | 0.61114 |
| 53s, paired | 17.152 | 39.693 | -22.541 | 0.43212 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common 66 has 82.08% equity, and with none in common it has 80.93%. 66 does better with a shared suit, by 1.15 points.
| Deals | Specific deals | Share of deals | 66 wins | Ties | 53s wins | 66 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 81.125 | 1.915 | 16.960 | 82.082 |
| No shared suit | 12 | 50.00 | 80.009 | 1.836 | 18.155 | 80.927 |
How often this matchup comes up
66 against 53s is made up of 24 specific-card matchups in one seat order, 0.0015% of the 1,624,350 ordered deals, and 48 counting both seat orders, 0.0030%.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. 66 averages $163.00 from the $200, up $63.00; 53s averages $37.00, down $63.00.
Per 1,000 deals: 66 wins about 806, 53s wins about 175, and about 19 end in a split pot.
The same matchup from the other side
If you came looking for 53s against 66, the numbers are the same with the hands swapped: 18.50% and 81.50%.
Keep exploring
6s6h against 5d3d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
We counted every case. Each suit pattern of the 24 specific 66 against 53s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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