Enter the cards you are keeping and any cards you know are gone. The calculator tries every unseen card, counts the ones that complete your hand, and gives the exact chance with one, two or three draws to come.
Count my outs: one-card draws
Write cards as rank then suit: 7c, Td or 10d, As. Suits are s, h, d, c. Separate with spaces.
Just the arithmetic
1What the numbers assume
Unseen cards are the 52 less the cards you keep and the cards you list as gone. Your own discard is a card you know is gone, so list it. If an opponent shows a card, list that too.
If you miss, you draw again, and the card you missed with is now gone as well. The chance of hitting at least once in n draws is one minus the chance of missing n times running, so two draws are worth a little less than double one draw.
Nothing is assumed about hands you cannot see. In a full game some of your outs are in other players' hands and discards. These are the odds given what you know, which is the only honest number available at the table.
One-card draws only. Two- and three-card draws depend on what you do after the first card arrives, so they have no single answer.
Every figure below comes from one script, tools/odds.js, kept with the site. Two conventions appear, and each table says which: 47 unseen counts your discard as gone; 48 unseen does not. For a pat hand against a draw, both hands are known, leaving 43.
2Deuce-to-seven
Computed
One-card draws to an eight or better, 47 unseen
Keep
Outs
1 left
2 left
3 left
2-3-4-7 · 2-3-5-7 · 2-3-4-8 · 2-3-7-8
12
25.5%
45.0%
59.6%
2-3-4-7 all one suit
9
19.1%
35.0%
48.0%
2-3-4-5 · 2-4-5-6 · 3-4-5-7
8
17.0%
31.5%
43.6%
4-5-6-7
4
8.5%
16.5%
23.9%
2-3-4-7, one draw, by target, 47 unseen
Finish with
Outs
Chance
A seven
8
17.0%
An eight or better
12
25.5%
A ten or better
20
42.6%
A jack or better
24
51.1%
Pat hand against one 2-3-4-7 draw: how often the pat hand holds up, 43 unseen
Pat hand
Draw's outs
1 left
2 left
3 left
8-7-6-4-2
10
76.7%
58.5%
44.2%
9-7-5-4-3
14
68.2%
46.0%
30.7%
9-8-6-4-2
13
69.8%
48.2%
32.9%
10-8-6-4-2
17
60.5%
36.0%
21.1%
J-8-6-4-2
21
51.2%
25.6%
12.5%
Q-8-6-4-2
25
41.9%
16.9%
6.6%
Dealt pat, of 2,598,960 deals
Dealt
Hands
Share
A seven
4,080
0.16%
An eight or better
18,360
0.71%
A nine or better
53,040
2.04%
A ten or better
123,420
4.75%
3Ace-to-five
Computed
A-2-3-4, one-card draw, 47 unseen
Finish with
Outs
1 left
2 left
3 left
The wheel
4
8.5%
16.5%
23.9%
A six or better
8
17.0%
31.5%
43.6%
A seven or better
12
25.5%
45.0%
59.6%
An eight or better
16
34.0%
57.0%
72.3%
Pat hand against one A-2-3-4 draw: how often the pat hand holds up, 43 unseen
Pat hand
Draw's outs
1 left
2 left
3 left
7-6-5-3-2
9
79.1%
62.1%
48.5%
8-6-5-3-2
13
69.8%
48.2%
32.9%
9-6-5-3-2
17
60.5%
36.0%
21.1%
10-6-5-3-2
21
51.2%
25.6%
12.5%
J-6-5-3-2
25
41.9%
16.9%
6.6%
Dealt pat, of 2,598,960 deals
Dealt
Hands
Share
The wheel
1,024
0.04%
A six or better
6,144
0.24%
A seven or better
21,504
0.83%
An eight or better
57,344
2.21%
4Badugi
Computed
Three-card hand drawing one, 48 unseen (four-card game, discard counted)
Keep
To
Outs
1 left
2 left
3 left
Any three cards of three suits and ranks
Any badugi
10
20.8%
37.7%
51.2%
Three cards, all seven or lower
Eight-high or better
5
10.4%
19.9%
28.6%
Three cards, all six or lower
Seven-high or better
4
8.3%
16.1%
23.4%
The four cards you are dealt, of 270,725 deals
Best hand
Hands
Share
A badugi
17,160
6.34%
Three cards
154,440
57.05%
Two cards
96,252
35.55%
One card
2,873
1.06%
5The split games
Computed
One-card draws, 47 unseen
Game and hand
To
Outs
1 left
2 left
3 left
Badeucey, 2-3-4-7 in three suits
A badugi
11
23.4%
41.7%
56.0%
Badeucey, same hand
An eight low or better
12
25.5%
45.0%
59.6%
Badeucey, same hand
Both at once
3
6.4%
12.5%
18.3%
Badacey, A-2-3-5 in three suits
Both at once
3
6.4%
12.5%
18.3%
Archie, 3-4-5-6
A qualifying low
16
34.0%
57.0%
72.3%
Archie, 3-4-5-6
A straight, both ways
8
17.0%
31.5%
43.6%
Archie, A-2-3-4
The wheel, both ways
4
8.5%
16.5%
23.9%
6Five-card draw
The table of what each draw does to a pair, two pair, three of a kind and the straight and flush draws is on the five-card draw page.
7The figures quoted with the solver work
Computed
Two sets of exact odds are quoted alongside our solver baselines. Our script reproduces both: 2-3-4-7 makes an eight or better 25.0%, 44.1% and 58.7% of the time with one, two and three draws (12 outs, 48 unseen), and a pat 9-8-6-4-2 beats that draw 69.8%, 48.2% and 32.9% of the time (13 outs, 43 unseen). See the baselines page.