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9 games · 5 states · Exact arrangement counts

Pick 3 and Pick 4, counted properly

The daily digit draws are the shortest odds a lottery sells: a three-digit straight is 1 in 1,000. This is what each bet type on the slip actually covers, and why none of them is the clever one.

The 9 games, side by side

Same format, different operators. Every odds figure is worked from the game's own outcome count, so the columns are directly comparable.

Digit games compared by state, digits, draws per day, straight odds and prize model.
GameDigitsDraws a weekStraight oddsPrizesBet types
Cash 3Georgia · 3 a day3211 in 1,000Fixed13
Daily 3California · 2 a day3141 in 1,000Pari-mutuel5
New York NumbersNew York · 2 a day3141 in 1,000Fixed9
Pick 3Florida · 2 a day3141 in 1,000Fixed9
Texas Pick 3Texas · 4 a day3241 in 1,000Fixed7
Cash 4Georgia · 3 a day4211 in 10,000Fixed18
Daily 4California · 1 a day471 in 10,000Pari-mutuel9
Pick 4Florida · 2 a day4141 in 10,000Fixed16
Win 4New York · 2 a day4141 in 10,000Fixed15

5 three-digit games and 4 four-digit ones. Texas runs the busiest calendar at 24 draws a week; California runs the quietest four-digit game at 7.

The box ladder

A box wins in every arrangement of your digits, so its odds depend entirely on how many arrangements your number has. That count is a multinomial coefficient, and here it is worked out.

3 digits · 1,000 outcomes

6-way box
3! = 61 in 167
3-way box
3! / (2! × 1!) = 31 in 333

4 digits · 10,000 outcomes

24-way box
4! = 241 in 417
12-way box
4! / (2! × 1! × 1!) = 121 in 833
6-way box
4! / (2! × 2!) = 61 in 1,667
4-way box
4! / (3! × 1!) = 41 in 2,500

Repeat a digit and the arrangements collapse, which is why a 4-way box pays six times a 24-way box. The prize moves to match the count, so the two are the same bet at different granularity.

Digit games — frequently asked

A daily draw of three or four separate digits, each from 0 to 9, where the digits can repeat and the order matters. Three digits give 1,000 possible results and four give 10,000. Pick 3, Pick 4, Cash 3, Cash 4, New York Numbers, Win 4 and Daily 3 are all the same format under different names.

A jackpot game asks you to choose a set of distinct numbers from a large pool, and its top prize grows when nobody wins. A digit game draws an ordered short number that may repeat digits, and in most states the prize is a set amount that never rolls over. Winning a digit game is thousands of times more likely and worth thousands of times less.

None of them, and that is the useful answer. On a fixed-prize game every play type on the chart returns roughly the same fraction of what is staked on it, usually somewhere near half. A box wins more often than a straight and pays proportionally less. Pick the one whose rhythm you enjoy; the arithmetic will not reward you for choosing cleverly.

The number of distinct orders your digits could come out in. Three different digits have 3! = 6 orders, so a box on them is a 6-way and wins six times out of a thousand. Four different digits have 4! = 24 orders. Repeat a digit and the count drops, which is why the operator's prize for a 4-way box is so much larger than for a 24-way.

No. There is no rollover and no accumulating pool. In fixed-prize states the top prize is printed in advance, commonly $500 on a three-digit straight and $5,000 on a four-digit one. In pari-mutuel states like California the amount moves from draw to draw, but it is a share of that draw's stakes rather than a prize that builds.

Keep going

Daily games settle fast, which is exactly what makes them easy to play often. Free, independent help is here if that stops feeling like fun.

Want today's digits?

Every game page draws a seeded set from today's date, or your birth date, with repeats allowed.

Open Pick 3