TT
53.01%
Wins 52.80%, ties 0.41%
QJs
46.99%
Wins 46.79%, ties 0.41%
TT against QJs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| TT | 52.801 | 0.411 | 46.788 | 53.007 |
| QJs | 46.788 | 0.411 | 52.801 | 46.993 |
TT, a pocket pair, plays QJs, 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 TT a little ahead. 0.41% of boards are ties, so the equity of each hand is its win rate plus half of that.
In the ranking of all 169 starting hands, TT is number 5 and QJs is number 28.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| TT | 21,699,000 | 169,000 | 19,228,000 |
| QJs | 19,228,000 | 169,000 | 21,699,000 |
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) |
|---|---|---|---|---|
| TT | 1.128 | 1.894 | 2.137 | 0.887 |
| QJs | 0.887 | 2.137 | 1.894 | 1.128 |
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
Low rainbow flops (nine high or lower) are the best for TT (71.99%); rainbow flops topped by a ten or better are the worst (46.53%). TT is the favorite overall but falls behind on rainbow flops topped by a ten or better.
| Flop | Share of flops | TT wins | Ties | QJs wins | TT equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 46.461 | 0.138 | 53.401 | 46.530 |
| Rainbow, nine or lower | 7.771 | 71.518 | 0.935 | 27.547 | 71.986 |
| Two-tone | 46.545 | 50.487 | 0.309 | 49.204 | 50.641 |
| Monotone | 5.212 | 50.166 | 2.395 | 47.439 | 51.364 |
| Paired | 17.334 | 59.882 | 0.218 | 39.900 | 59.991 |
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
Against one random hand instead, TT holds 75.01% and QJs holds 60.26%. Facing each other changes that by -22.00 points for TT and -13.27 points for QJs.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| TT, all flops | 53.007 | 75.012 | -22.005 | 0.70665 |
| TT, rainbow, ten or higher | 46.530 | 75.012 | -28.482 | 0.62030 |
| TT, rainbow, nine or lower | 71.986 | 75.012 | -3.026 | 0.95966 |
| TT, two-tone | 50.641 | 75.012 | -24.371 | 0.67511 |
| TT, monotone | 51.364 | 75.012 | -23.648 | 0.68474 |
| TT, paired | 59.991 | 75.012 | -15.021 | 0.79975 |
| QJs, all flops | 46.993 | 60.259 | -13.266 | 0.77985 |
| QJs, rainbow, ten or higher | 53.470 | 60.259 | -6.789 | 0.88734 |
| QJs, rainbow, nine or lower | 28.014 | 60.259 | -32.245 | 0.46489 |
| QJs, two-tone | 49.359 | 60.259 | -10.900 | 0.81911 |
| QJs, monotone | 48.636 | 60.259 | -11.623 | 0.80712 |
| QJs, paired | 40.009 | 60.259 | -20.250 | 0.66395 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (TT at 53.11%) and 12 do not (52.90%). The two rows differ by only 0.21 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | TT wins | Ties | QJs wins | TT equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 52.885 | 0.451 | 46.664 | 53.111 |
| No shared suit | 12 | 50.00 | 52.717 | 0.371 | 46.912 | 52.902 |
How often this matchup comes up
TT against QJs 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
Take a $200 pot built from $100 each. TT's equity of 53.01% is worth $106.02, a $6.02 edge, and QJs' 46.99% is worth $93.98, which is $6.02 under its stake.
Over a long run, 1,000 deals split into about 528 for TT, 468 for QJs and 4 tied.
The same matchup from the other side
QJs against TT adds nothing new: it is 46.99% for QJs and 53.01% for TT, the same figures reversed.
Keep exploring
TsTh against QdJd 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 24 specific deals of TT against QJs, 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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