T9s
64.42%
Wins 63.55%, ties 1.73%
64s
35.58%
Wins 34.72%, ties 1.73%
T9s against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| T9s | 63.552 | 1.732 | 34.716 | 64.418 |
| 64s | 34.716 | 1.732 | 63.552 | 35.582 |
T9s meets 64s, and both are suited hands. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
T9s is ahead, but 64s is far from dead: it takes 347 of every 1,000 deals outright. Ties are 1.73% of the outcomes here; each tied board gives both hands half the pot.
Among the 169 starting hands, T9s is number 64 and 64s is number 138 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| T9s | 17,411,000 | 475,000 | 9,511,000 |
| 64s | 9,511,000 | 475,000 | 17,411,000 |
The total is exact: 16 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) |
|---|---|---|---|---|
| T9s | 1.810 | 1.574 | 2.881 | 0.552 |
| 64s | 0.552 | 2.881 | 1.574 | 1.810 |
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
If you know the kind of flop that came, the numbers shift: T9s holds 68.66% on rainbow flops topped by a ten or better and 50.32% on low rainbow flops (nine high or lower). T9s 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 | T9s wins | Ties | 64s wins | T9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 68.103 | 1.111 | 30.786 | 68.658 |
| Rainbow, nine or lower | 5.689 | 50.075 | 0.490 | 49.435 | 50.320 |
| Two-tone | 46.727 | 63.657 | 0.909 | 35.434 | 64.112 |
| Monotone | 5.273 | 59.627 | 3.888 | 36.485 | 61.571 |
| Paired | 17.091 | 62.249 | 4.644 | 33.107 | 64.571 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
A random hand would give T9s 54.03% and 64s 41.33%. Against each other the change is +10.39 points for T9s and -5.75 for 64s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| T9s, all flops | 64.418 | 54.028 | +10.390 | 1.19231 |
| T9s, rainbow, ten or higher | 68.658 | 54.028 | +14.630 | 1.27079 |
| T9s, rainbow, nine or lower | 50.320 | 54.028 | -3.708 | 0.93137 |
| T9s, two-tone | 64.112 | 54.028 | +10.084 | 1.18664 |
| T9s, monotone | 61.571 | 54.028 | +7.543 | 1.13961 |
| T9s, paired | 64.571 | 54.028 | +10.543 | 1.19514 |
| 64s, all flops | 35.582 | 41.333 | -5.751 | 0.86086 |
| 64s, rainbow, ten or higher | 31.342 | 41.333 | -9.991 | 0.75828 |
| 64s, rainbow, nine or lower | 49.680 | 41.333 | +8.347 | 1.20195 |
| 64s, two-tone | 35.888 | 41.333 | -5.445 | 0.86827 |
| 64s, monotone | 38.429 | 41.333 | -2.904 | 0.92974 |
| 64s, paired | 35.429 | 41.333 | -5.904 | 0.85716 |
Does a shared suit matter?
When the hands share a suit, T9s holds 66.89%; when they do not, it holds 63.60%. T9s does better with a shared suit, by 3.29 points.
| Deals | Specific deals | Share of deals | T9s wins | Ties | 64s wins | T9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 65.949 | 1.878 | 32.173 | 66.888 |
| No shared suit | 12 | 75.00 | 62.753 | 1.683 | 35.564 | 63.595 |
How often this matchup comes up
How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are T9s against 64s, and 32 (0.0020%) if either hand may sit in either seat.
A worked example
Put $100 each into a $200 pot and deal every board once: T9s averages $128.84 back, ahead of its $100 by $28.84, while 64s averages $71.16, short of its $100 by $28.84.
Think in thousands: about 636 of 1,000 go to T9s, about 347 go to 64s, and about 17 are chopped.
The same matchup from the other side
64s against T9s adds nothing new: it is 35.58% for 64s and 64.42% for T9s, the same figures reversed.
Keep exploring
Ts9s against 6h4h 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 16 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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