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Lottery number generator

Quick-pick lines for seven official formats, with the real jackpot combinatorics next to every line

Pick a format and generate. Every line is drawn server-side from the official pool — and every line, random or hand-picked, carries exactly the same jackpot odds.

Your line

Pick a draw format. Every submit generates a fresh quick-pick line with the real jackpot odds next to it.

Official formats, from Powerball to keno.
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No JavaScript required. No JavaScript required. Numbers are drawn server-side with a cryptographic random source.
How the math works

Every line is the same line

Jackpot odds are pure combinatorics: the number of ways to choose your picks from the pool, times the bonus-ball combinations. Powerball is C(69,5) × 26 — one in 292,201,338. No date, pattern or streak changes that number.

What a generator honestly gives you is protection from popular lines: birthdays cluster below 32, so a random line shares its jackpot with fewer people. The odds of winning stay identical.

# jackpot odds from combinatorics
odds = C(pool, picks) × C(bonus_pool, bonus_picks)
Powerball: C(69,5) × 26 = 292,201,338

Methodology

Numbers are drawn without replacement via random_int (CSPRNG) from the format's published pool. Jackpot odds are C(pool, picks) × C(bonus pool, bonus picks) — Powerball's C(69,5) × 26 = 292,201,338 matches the operator's published figure exactly.

Why the jackpot is not the number to read

A lottery's expected return is the sum of each prize multiplied by its probability, and the headline jackpot is a small part of it. A 1-in-14-million top prize contributes almost nothing to the average player's return; most of the published payout percentage comes from the small tiers that pay a few pounds. That is the opposite of how the advertising is arranged.

Two further effects decide what a win is worth. Rollovers raise the jackpot without changing the odds, which improves the expected return in that single draw. Shared wins cut it: when a jackpot is split between four tickets, the prize you calculated is a quarter of what arrives. Popular number patterns are shared far more often than random ones, which is the only part of a lottery choice a player controls.

FAQ

How are lottery odds calculated?

With combinations. Choosing 6 of 49 gives C(49,6) = 13,983,816 possible tickets, so one line has that one chance. Adding a bonus ball multiplies the space again: 5 of 69 plus 1 of 26 is 292,201,338.

Are 'lucky' numbers worse than random ones?

Every combination is equally likely, but popular patterns — birthdays, 1-2-3-4-5-6, calendar dates — are chosen by thousands of players, so a win is shared. Random lines do not win more often; they pay more when they win.

Do more lines improve the odds meaningfully?

Proportionally and trivially. Ten lines on a 14-million draw take the chance from 1 in 14 million to 1 in 1.4 million, still far longer than any event you would plan around.

Does this tool pick winning numbers?

No. It generates valid random lines and shows the real odds behind them, which is the opposite of a prediction.