66
66.29%
Wins 65.56%, ties 1.46%
75s
33.71%
Wins 32.98%, ties 1.46%
66 against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 66 | 65.560 | 1.456 | 32.984 | 66.288 |
| 75s | 32.984 | 1.456 | 65.560 | 33.712 |
66 is a pocket pair and 75s is a suited hand. The pair is ahead of one card and behind the other, so the board decides how that plays out.
A lead of 32.58 points is large but not decisive: 75s still takes about 330 of every 1,000 deals. A split pot comes up on 1.46% of boards, so the wins and the equity differ by half of that.
For context, 66 sits at number 17 of 169 starting hands and 75s at number 124 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 66 | 26,942,000 | 598,000 | 13,555,000 |
| 75s | 13,555,000 | 598,000 | 26,942,000 |
The board total is exact, 24 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| 66 | 1.966 | 1.525 | 3.032 | 0.509 |
| 75s | 0.509 | 3.032 | 1.525 | 1.966 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
66 prefers rainbow flops topped by a ten or better, where it holds 69.64%, and likes low rainbow flops (nine high or lower) least, where it holds 59.39%. 66 stays ahead on all five textures.
| Flop | Share of flops | 66 wins | Ties | 75s wins | 66 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 69.192 | 0.896 | 29.912 | 69.640 |
| Rainbow, nine or lower | 5.065 | 59.152 | 0.473 | 40.375 | 59.389 |
| Two-tone | 46.545 | 64.408 | 0.782 | 34.810 | 64.799 |
| Monotone | 5.212 | 60.678 | 2.888 | 36.434 | 62.122 |
| Paired | 17.334 | 66.578 | 3.957 | 29.465 | 68.557 |
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
A random hand would give 66 63.29% and 75s 43.68%. Against each other the change is +3.00 points for 66 and -9.97 for 75s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 66, all flops | 66.288 | 63.285 | +3.003 | 1.04745 |
| 66, rainbow, ten or higher | 69.640 | 63.285 | +6.355 | 1.10042 |
| 66, rainbow, nine or lower | 59.389 | 63.285 | -3.896 | 0.93844 |
| 66, two-tone | 64.799 | 63.285 | +1.514 | 1.02392 |
| 66, monotone | 62.122 | 63.285 | -1.163 | 0.98162 |
| 66, paired | 68.557 | 63.285 | +5.272 | 1.08331 |
| 75s, all flops | 33.712 | 43.676 | -9.964 | 0.77187 |
| 75s, rainbow, ten or higher | 30.360 | 43.676 | -13.316 | 0.69512 |
| 75s, rainbow, nine or lower | 40.611 | 43.676 | -3.065 | 0.92982 |
| 75s, two-tone | 35.201 | 43.676 | -8.475 | 0.80596 |
| 75s, monotone | 37.878 | 43.676 | -5.798 | 0.86725 |
| 75s, paired | 31.443 | 43.676 | -12.233 | 0.71991 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common 66 has 66.50% equity, and with none in common it has 66.07%. 66 does better with a shared suit, by 0.43 points.
| Deals | Specific deals | Share of deals | 66 wins | Ties | 75s wins | 66 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 65.756 | 1.495 | 32.749 | 66.503 |
| No shared suit | 12 | 50.00 | 65.365 | 1.416 | 33.219 | 66.073 |
How often this matchup comes up
Counting specific cards, 66 against 75s appears in 24 of the 1,624,350 ordered heads-up deals (0.0015%), and in 48 when the seats are swapped too (0.0030%).
A worked example
Put $100 each into a $200 pot and deal every board once: 66 averages $132.58 back, ahead of its $100 by $32.58, while 75s averages $67.42, short of its $100 by $32.58.
Think in thousands: about 656 of 1,000 go to 66, about 330 go to 75s, and about 14 are chopped.
The same matchup from the other side
The mirror image, 75s against 66, is 33.71% to 66.29%, and its address redirects to this page.
Keep exploring
Try 6s6h against 7d5d in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 24 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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