J9s
52.08%
Wins 51.48%, ties 1.19%
33
47.92%
Wins 47.33%, ties 1.19%
J9s against 33: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| J9s | 51.483 | 1.194 | 47.323 | 52.080 |
| 33 | 47.323 | 1.194 | 51.483 | 47.920 |
We compare a suited hand with a pocket pair. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.
This is close to even money, with J9s a little ahead. About 1.19% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
Among the 169 starting hands, J9s is number 55 and 33 is number 66 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| J9s | 21,157,000 | 491,000 | 19,448,000 |
| 33 | 19,448,000 | 491,000 | 21,157,000 |
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) |
|---|---|---|---|---|
| J9s | 1.087 | 1.942 | 2.113 | 0.920 |
| 33 | 0.920 | 2.113 | 1.942 | 1.087 |
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
Break the boards down by their first three cards and J9s is strongest on two-tone flops (53.37%) and weakest on low rainbow flops (nine high or lower) (43.12%). 33 is ahead on low rainbow flops (nine high or lower) and paired flops, even though it trails J9s when every flop is counted.
| Flop | Share of flops | J9s wins | Ties | 33 wins | J9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 53.042 | 0.634 | 46.324 | 53.359 |
| Rainbow, nine or lower | 5.689 | 42.743 | 0.761 | 56.496 | 43.123 |
| Two-tone | 46.545 | 53.060 | 0.626 | 46.314 | 53.373 |
| Monotone | 5.212 | 49.877 | 3.422 | 46.701 | 51.588 |
| Paired | 17.334 | 48.333 | 3.006 | 48.661 | 49.836 |
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
Compared with a random opponent, this matchup shifts J9s from 55.66% by -3.58 points and 33 from 53.69% by -5.77 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| J9s, all flops | 52.080 | 55.662 | -3.582 | 0.93565 |
| J9s, rainbow, ten or higher | 53.359 | 55.662 | -2.303 | 0.95863 |
| J9s, rainbow, nine or lower | 43.123 | 55.662 | -12.539 | 0.77473 |
| J9s, two-tone | 53.373 | 55.662 | -2.289 | 0.95888 |
| J9s, monotone | 51.588 | 55.662 | -4.074 | 0.92681 |
| J9s, paired | 49.836 | 55.662 | -5.826 | 0.89533 |
| 33, all flops | 47.920 | 53.693 | -5.773 | 0.89248 |
| 33, rainbow, ten or higher | 46.641 | 53.693 | -7.052 | 0.86866 |
| 33, rainbow, nine or lower | 56.877 | 53.693 | +3.184 | 1.05930 |
| 33, two-tone | 46.627 | 53.693 | -7.066 | 0.86840 |
| 33, monotone | 48.412 | 53.693 | -5.281 | 0.90164 |
| 33, paired | 50.164 | 53.693 | -3.529 | 0.93427 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (J9s at 51.93%) and 12 do not (52.23%). J9s does better with no shared suit, by 0.30 points.
| Deals | Specific deals | Share of deals | J9s wins | Ties | 33 wins | J9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 51.313 | 1.225 | 47.462 | 51.926 |
| No shared suit | 12 | 50.00 | 51.652 | 1.163 | 47.185 | 52.234 |
How often this matchup comes up
Exactly 24 specific deals fit this matchup in one seat order, which is 0.0015% of 1,624,350; both orders together give 48, or 0.0030%.
A worked example
Take a $200 pot built from $100 each. J9s' equity of 52.08% is worth $104.16, a $4.16 edge, and 33's 47.92% is worth $95.84, which is $4.16 under its stake.
Per 1,000 deals: J9s wins about 515, 33 wins about 473, and about 12 end in a split pot.
The same matchup from the other side
33 versus J9s is this same page seen from the other hand: 47.92% for 33, 52.08% for J9s.
Keep exploring
The calculator link fills in Js9s against 3h3d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
Nothing here is simulated. The 24 deals of J9s against 33 fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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