66
66.03%
Wins 65.79%, ties 0.48%
A3s
33.97%
Wins 33.73%, ties 0.48%
66 against A3s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 66 | 65.794 | 0.475 | 33.731 | 66.031 |
| A3s | 33.731 | 0.475 | 65.794 | 33.969 |
One side is a pocket pair, the other is a suited hand. The pair sits between the other hand's two cards: one is higher and one is lower, so the pair is exposed to the higher card.
A lead of 32.06 points is large but not decisive: A3s still takes about 337 of every 1,000 deals. Of every 100 boards, about 0.48 are split pots, and the equity figures already include them.
By strength against a random hand, 66 holds place 17 of 169 and A3s holds place 38.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 66 | 27,038,000 | 195,000 | 13,862,000 |
| A3s | 13,862,000 | 195,000 | 27,038,000 |
24 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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 | 1.944 | 1.520 | 2.965 | 0.514 |
| A3s | 0.514 | 2.965 | 1.520 | 1.944 |
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
The flop changes the picture. 66 does best on low rainbow flops (nine high or lower), at 79.44%, and worst on monotone flops, at 62.54%. 66 stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | 66 wins | Ties | A3s wins | 66 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 65.600 | 0.251 | 34.149 | 65.726 |
| Rainbow, nine or lower | 5.689 | 79.054 | 0.777 | 20.169 | 79.442 |
| Two-tone | 46.545 | 64.892 | 0.317 | 34.791 | 65.050 |
| Monotone | 5.212 | 61.292 | 2.486 | 36.222 | 62.535 |
| Paired | 17.334 | 65.502 | 0.519 | 33.979 | 65.762 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Against one random hand instead, 66 holds 63.29% and A3s holds 58.22%. Facing each other changes that by +2.74 points for 66 and -24.25 points for A3s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 66, all flops | 66.031 | 63.285 | +2.746 | 1.04339 |
| 66, rainbow, ten or higher | 65.726 | 63.285 | +2.441 | 1.03857 |
| 66, rainbow, nine or lower | 79.442 | 63.285 | +16.157 | 1.25531 |
| 66, two-tone | 65.050 | 63.285 | +1.765 | 1.02789 |
| 66, monotone | 62.535 | 63.285 | -0.750 | 0.98815 |
| 66, paired | 65.762 | 63.285 | +2.477 | 1.03914 |
| A3s, all flops | 33.969 | 58.220 | -24.251 | 0.58346 |
| A3s, rainbow, ten or higher | 34.274 | 58.220 | -23.946 | 0.58870 |
| A3s, rainbow, nine or lower | 20.558 | 58.220 | -37.662 | 0.35311 |
| A3s, two-tone | 34.950 | 58.220 | -23.270 | 0.60031 |
| A3s, monotone | 37.465 | 58.220 | -20.755 | 0.64351 |
| A3s, paired | 34.238 | 58.220 | -23.982 | 0.58808 |
Does a shared suit matter?
Two kinds of deal exist here. In 12 of them the hands share a suit and 66 holds 66.33%. In 12 they do not, and it holds 65.74%. 66 does better with a shared suit, by 0.59 points.
| Deals | Specific deals | Share of deals | 66 wins | Ties | A3s wins | 66 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 66.067 | 0.518 | 33.415 | 66.326 |
| No shared suit | 12 | 50.00 | 65.521 | 0.431 | 34.048 | 65.737 |
How often this matchup comes up
How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are 66 against A3s, and 48 (0.0030%) if either hand may sit in either seat.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. 66 is worth $132.06 on average (+$32.06); A3s is worth $67.94 (-$32.06).
Out of 1,000 deals you should see around 658 outright wins for 66, 337 for A3s, and 5 split pots.
The same matchup from the other side
One page covers both views. From A3s' side the equity is 33.97%, and from 66's side it is 66.03%.
Keep exploring
Try 6s6h against Ad3d 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
This is an exact count with no sampling. For the 24 ways to deal one 66 and one A3s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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