77
50.16%
Wins 49.87%, ties 0.60%
T9s
49.84%
Wins 49.53%, ties 0.60%
77 against T9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 49.865 | 0.597 | 49.538 | 50.163 |
| T9s | 49.538 | 0.597 | 49.865 | 49.837 |
77, a pocket pair, plays T9s, a suited hand. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
This is close to even money, with 77 a little ahead. Of every 100 boards, about 0.60 are split pots, and the equity figures already include them.
By strength against a random hand, 77 holds place 9 of 169 and T9s holds place 64.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 20,492,000 | 245,000 | 20,358,000 |
| T9s | 20,358,000 | 245,000 | 20,492,000 |
Exact total: 24 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| 77 | 1.007 | 2.005 | 2.019 | 0.994 |
| T9s | 0.994 | 2.019 | 2.005 | 1.007 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
77 prefers low rainbow flops (nine high or lower), where it holds 58.71%, and likes two-tone flops least, where it holds 48.01%. Watch for rainbow flops topped by a ten or better, two-tone flops and monotone flops: on those flops T9s holds the better equity.
| Flop | Share of flops | 77 wins | Ties | T9s wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 47.873 | 0.362 | 51.765 | 48.054 |
| Rainbow, nine or lower | 5.689 | 58.512 | 0.394 | 41.094 | 58.709 |
| Two-tone | 46.545 | 47.837 | 0.350 | 51.813 | 48.012 |
| Monotone | 5.212 | 48.397 | 2.474 | 49.129 | 49.634 |
| Paired | 17.334 | 55.811 | 1.104 | 43.085 | 56.363 |
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
A random hand would give 77 66.24% and T9s 54.03%. Against each other the change is -16.08 points for 77 and -4.19 for T9s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 50.163 | 66.236 | -16.073 | 0.75734 |
| 77, rainbow, ten or higher | 48.054 | 66.236 | -18.182 | 0.72550 |
| 77, rainbow, nine or lower | 58.709 | 66.236 | -7.527 | 0.88636 |
| 77, two-tone | 48.012 | 66.236 | -18.224 | 0.72486 |
| 77, monotone | 49.634 | 66.236 | -16.602 | 0.74935 |
| 77, paired | 56.363 | 66.236 | -9.873 | 0.85094 |
| T9s, all flops | 49.837 | 54.028 | -4.191 | 0.92243 |
| T9s, rainbow, ten or higher | 51.946 | 54.028 | -2.082 | 0.96146 |
| T9s, rainbow, nine or lower | 41.291 | 54.028 | -12.737 | 0.76425 |
| T9s, two-tone | 51.988 | 54.028 | -2.040 | 0.96224 |
| T9s, monotone | 50.366 | 54.028 | -3.662 | 0.93222 |
| T9s, paired | 43.637 | 54.028 | -10.391 | 0.80767 |
Does a shared suit matter?
Does suit overlap move the numbers? 77 has 50.27% when the hands share a suit and 50.06% when they do not. The two rows differ by only 0.21 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | 77 wins | Ties | T9s wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 49.952 | 0.638 | 49.410 | 50.271 |
| No shared suit | 12 | 50.00 | 49.777 | 0.557 | 49.666 | 50.056 |
How often this matchup comes up
Counting specific cards, 77 against T9s 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
Say each player puts $100 in before the flop, making a $200 pot. On average 77 takes back $100.32 of it, which is $0.32 more than it put in, and T9s takes back $99.68, $0.32 less than it put in.
Per 1,000 deals: 77 wins about 499, T9s wins about 495, and about 6 end in a split pot.
The same matchup from the other side
Swap the hands and you get T9s with 49.84% against 77 with 50.16%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Try 7s7h against Td9d 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 24 specific deals of 77 against T9s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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