JTs
53.25%
Wins 52.66%, ties 1.17%
33
46.75%
Wins 46.17%, ties 1.17%
JTs against 33: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JTs | 52.660 | 1.171 | 46.169 | 53.246 |
| 33 | 46.169 | 1.171 | 52.660 | 46.754 |
The matchup pits a suited hand against a pocket pair. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.
This is close to even money, with JTs a little ahead. A split pot comes up on 1.17% of boards, so the wins and the equity differ by half of that.
Ranked by equity against a random hand, JTs is number 45 of the 169 starting hands and 33 is number 66.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JTs | 21,641,000 | 481,000 | 18,973,000 |
| 33 | 18,973,000 | 481,000 | 21,641,000 |
The total is exact: 24 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) |
|---|---|---|---|---|
| JTs | 1.139 | 1.899 | 2.166 | 0.878 |
| 33 | 0.878 | 2.166 | 1.899 | 1.139 |
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: JTs holds 58.39% on rainbow flops topped by a ten or better and 31.20% on low rainbow flops (nine high or lower). On low rainbow flops (nine high or lower) the numbers flip and 33 is the one ahead.
| Flop | Share of flops | JTs wins | Ties | 33 wins | JTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 58.079 | 0.618 | 41.303 | 58.388 |
| Rainbow, nine or lower | 6.314 | 30.816 | 0.765 | 68.419 | 31.199 |
| Two-tone | 46.545 | 54.292 | 0.617 | 45.091 | 54.601 |
| Monotone | 5.212 | 50.737 | 3.414 | 45.849 | 52.444 |
| Paired | 17.334 | 49.123 | 2.920 | 47.957 | 50.583 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Each hand has a baseline against a random hand: 57.53% for JTs, 53.69% for 33. Here the change is -4.28 and -6.94 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JTs, all flops | 53.246 | 57.528 | -4.282 | 0.92557 |
| JTs, rainbow, ten or higher | 58.388 | 57.528 | +0.860 | 1.01495 |
| JTs, rainbow, nine or lower | 31.199 | 57.528 | -26.329 | 0.54233 |
| JTs, two-tone | 54.601 | 57.528 | -2.927 | 0.94912 |
| JTs, monotone | 52.444 | 57.528 | -5.084 | 0.91163 |
| JTs, paired | 50.583 | 57.528 | -6.945 | 0.87928 |
| 33, all flops | 46.754 | 53.693 | -6.939 | 0.87077 |
| 33, rainbow, ten or higher | 41.612 | 53.693 | -12.081 | 0.77500 |
| 33, rainbow, nine or lower | 68.801 | 53.693 | +15.108 | 1.28138 |
| 33, two-tone | 45.399 | 53.693 | -8.294 | 0.84553 |
| 33, monotone | 47.556 | 53.693 | -6.137 | 0.88570 |
| 33, paired | 49.417 | 53.693 | -4.276 | 0.92036 |
Does a shared suit matter?
Does suit overlap move the numbers? JTs has 53.11% when the hands share a suit and 53.38% when they do not. JTs does better with no shared suit, by 0.27 points.
| Deals | Specific deals | Share of deals | JTs wins | Ties | 33 wins | JTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 52.507 | 1.202 | 46.291 | 53.108 |
| No shared suit | 12 | 50.00 | 52.813 | 1.141 | 46.046 | 53.384 |
How often this matchup comes up
How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are JTs against 33, and 48 (0.0030%) if either hand may sit in either seat.
A worked example
Put $100 each into a $200 pot and deal every board once: JTs averages $106.50 back, ahead of its $100 by $6.50, while 33 averages $93.50, short of its $100 by $6.50.
A thousand deals look like this: JTs takes 526, 33 takes 462, 12 are ties.
The same matchup from the other side
The reversed view, 33 against JTs, shows 46.75% for 33 and 53.25% for JTs. It is the same count, so it redirects here.
Keep exploring
Try JsTs against 3h3d 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 JTs against 33, 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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