AJo
67.27%
Wins 66.39%, ties 1.77%
JTs
32.73%
Wins 31.84%, ties 1.77%
AJo against JTs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJo | 66.385 | 1.765 | 31.850 | 67.267 |
| JTs | 31.850 | 1.765 | 66.385 | 32.733 |
The first hand is an offsuit hand; the second is a suited hand. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
A lead of 34.54 points is large but not decisive: JTs still takes about 318 of every 1,000 deals. A split pot comes up on 1.77% of boards, so the wins and the equity differ by half of that.
Among the 169 starting hands, AJo is number 15 and JTs is number 45 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJo | 40,922,000 | 1,088,000 | 19,633,000 |
| JTs | 19,633,000 | 1,088,000 | 40,922,000 |
The total is exact: 36 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) |
|---|---|---|---|---|
| AJo | 2.055 | 1.506 | 3.140 | 0.487 |
| JTs | 0.487 | 3.140 | 1.506 | 2.055 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
By flop texture, AJo's equity runs from 63.23% on monotone flops up to 76.03% on low rainbow flops (nine high or lower). AJo stays ahead on all five textures.
| Flop | Share of flops | AJo wins | Ties | JTs wins | AJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 65.075 | 1.652 | 33.273 | 65.901 |
| Rainbow, nine or lower | 7.771 | 75.247 | 1.574 | 23.179 | 76.034 |
| Two-tone | 46.527 | 64.459 | 1.530 | 34.011 | 65.224 |
| Monotone | 5.192 | 61.679 | 3.097 | 35.224 | 63.227 |
| Paired | 17.333 | 70.740 | 2.237 | 27.023 | 71.858 |
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
Start from the random-hand figures, 63.56% for AJo and 57.53% for JTs. This opponent changes them by +3.71 and -24.80 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJo, all flops | 67.267 | 63.563 | +3.704 | 1.05827 |
| AJo, rainbow, ten or higher | 65.901 | 63.563 | +2.338 | 1.03678 |
| AJo, rainbow, nine or lower | 76.034 | 63.563 | +12.471 | 1.19620 |
| AJo, two-tone | 65.224 | 63.563 | +1.661 | 1.02613 |
| AJo, monotone | 63.227 | 63.563 | -0.336 | 0.99471 |
| AJo, paired | 71.858 | 63.563 | +8.295 | 1.13050 |
| JTs, all flops | 32.733 | 57.528 | -24.795 | 0.56899 |
| JTs, rainbow, ten or higher | 34.099 | 57.528 | -23.429 | 0.59274 |
| JTs, rainbow, nine or lower | 23.966 | 57.528 | -33.562 | 0.41660 |
| JTs, two-tone | 34.776 | 57.528 | -22.752 | 0.60451 |
| JTs, monotone | 36.773 | 57.528 | -20.755 | 0.63922 |
| JTs, paired | 28.142 | 57.528 | -29.386 | 0.48919 |
Does a shared suit matter?
Split by suits, the deals give AJo 68.27% when the hands overlap in a suit and 66.77% when they do not. AJo does better with a shared suit, by 1.50 points.
| Deals | Specific deals | Share of deals | AJo wins | Ties | JTs wins | AJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 67.345 | 1.840 | 30.815 | 68.265 |
| No shared suit | 24 | 66.67 | 65.904 | 1.728 | 32.368 | 66.768 |
How often this matchup comes up
Exactly 36 specific deals fit this matchup in one seat order, which is 0.0022% of 1,624,350; both orders together give 72, or 0.0044%.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. AJo is worth $134.54 on average (+$34.54); JTs is worth $65.46 (-$34.54).
Scaled to 1,000 deals, that is roughly 664 wins for AJo, 318 for JTs and 18 chopped pots.
The same matchup from the other side
JTs versus AJo is this same page seen from the other hand: 32.73% for JTs, 67.27% for AJo.
Keep exploring
Open the calculator with AsJh against JdTd already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
This is an exact count with no sampling. For the 36 ways to deal one AJo and one JTs 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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