About

Lottery draws rely on uniform random selection from a finite pool. A generator that uses Math.random is a pseudorandom number generator seeded by system time. Its output is deterministic and predictable given the seed. This tool uses the browser's crypto.getRandomValues interface, which pulls entropy from operating system sources (hardware interrupts, thermal noise, interrupt timing). The result is a cryptographically secure pseudorandom number generator (CSPRNG) that meets NIST SP 800-90A requirements. Selection uses a Fisher-Yates shuffle over the full number pool n, then picks the first k elements. This guarantees each combination has equal probability of 1C(n, k). For Powerball, that is 1 in 292,201,338. No generator changes these odds.

What this tool eliminates is human bias. Studies show people avoid numbers above 31 (birthday bias), cluster toward "lucky" numbers, and underweight high values. This skews shared-jackpot risk. The tool also tracks frequency across your draw history. This is not predictive. Lottery draws are independent events. But frequency data lets you verify the generator's uniformity over time. Presets cover Powerball (5/69 + 1/26), Mega Millions (5/70 + 1/25), EuroMillions (5/50 + 2/12), and custom configurations.

Limitation: this tool generates numbers client-side. It does not connect to any lottery authority. Verify draw rules with your local operator before purchasing tickets.

Formulas

The number of possible combinations for selecting k numbers from a pool of n is given by the binomial coefficient:

C(n, k) = n!k! ⋅ (n − k)!

For games with a bonus pool, total odds multiply main and bonus combinations:

Odds = C(n_main, k_main) × C(n_bonus, k_bonus)

For Powerball: C(69, 5) × C(26, 1) = 11,238,513 × 26 = 292,201,338

The Fisher-Yates shuffle iterates index i from n − 1 down to 1, swapping element at i with a uniformly random element at index j where 0 ≤ j ≤ i. Entropy source: crypto.getRandomValues provides 32-bit unsigned integers. To avoid modulo bias, rejection sampling discards values above the largest multiple of the range.

Where n = total numbers in pool, k = numbers to pick, i = current shuffle index, j = random swap target.

Reference Data

Lottery Game	Main Pool	Pick	Bonus Pool	Bonus Pick	Jackpot Odds	Draw Days
Powerball (US)	1 - 69	5	1 - 26	1	1 in 292,201,338	Mon, Wed, Sat
Mega Millions (US)	1 - 70	5	1 - 25	1	1 in 302,575,350	Tue, Fri
EuroMillions	1 - 50	5	1 - 12	2	1 in 139,838,160	Tue, Fri
EuroJackpot	1 - 50	5	1 - 12	2	1 in 139,838,160	Tue, Fri
UK Lotto	1 - 59	6	-	0	1 in 45,057,474	Wed, Sat
Lotto 6/49 (Canada)	1 - 49	6	1 - 49	1	1 in 13,983,816	Wed, Sat
Oz Lotto (Australia)	1 - 45	7	-	0	1 in 45,379,620	Tue
SuperEnalotto (Italy)	1 - 90	6	1 - 90	1	1 in 622,614,630	Tue, Thu, Sat
La Primitiva (Spain)	1 - 49	6	0 - 9	1	1 in 139,838,160	Thu, Sat
Loto (France)	1 - 49	5	1 - 10	1	1 in 19,068,840	Mon, Wed, Sat
Lotto (Germany)	1 - 49	6	0 - 9	1	1 in 139,838,160	Wed, Sat
Tattslotto (Australia)	1 - 45	6	-	0	1 in 8,145,060	Sat
Toto (Singapore)	1 - 49	6	-	0	1 in 13,983,816	Mon, Thu
Japan Loto 6	1 - 43	6	-	0	1 in 6,096,454	Mon, Thu
Mega Sena (Brazil)	1 - 60	6	-	0	1 in 50,063,860	Wed, Sat

Frequently Asked Questions

crypto.getRandomValues provides cryptographically secure pseudorandom bytes sourced from OS-level entropy pools (e.g., /dev/urandom on Linux, BCryptGenRandom on Windows). The output passes NIST SP 800-22 randomness tests. However, mapping a 32-bit integer to a smaller range via modulo introduces bias. This tool uses rejection sampling: if the random value falls above the largest multiple of the range that fits in 32 bits, it is discarded and resampled. This eliminates modulo bias entirely.

No. Each lottery draw is an independent event. The probability of any number appearing is always 1/n per position regardless of past frequency. The frequency tracker in this tool serves only to verify the generator's uniformity over your sample. By the law of large numbers, frequencies should converge toward equal distribution as sample size increases. Deviations in small samples (under 100 draws) are expected and not meaningful.

Official lottery results list main pool numbers in ascending order because order does not matter in combination-based draws. Bonus numbers (Powerball, Mega Ball, Lucky Stars) are drawn from a separate, independent pool and are presented as-is. In games like EuroMillions with 2 bonus picks, those are also sorted ascending per convention.

The custom mode enforces: minimum pool size of 2, maximum pool size of 999, pick count must be at least 1 and cannot exceed pool size, bonus pool can be 0 (disabled) or between 2 and 999, bonus pick cannot exceed bonus pool size. The minimum start number is 0 (for games like German Lotto Superzahl which uses 0-9). All inputs are parsed as integers and clamped to valid ranges.

Generating multiple lines (e.g., 5 lines) produces 5 independent draws in a single action, each using fresh cryptographic entropy. This is equivalent to buying 5 separate tickets. Drawing multiple times sequentially via the Draw button produces the same statistical result. The multi-line feature simply batches the operation for convenience. Each line's probability remains C(n,k) regardless of other lines generated.

No. The generator has no connection to official lottery databases. Each draw is purely random from the full number pool. Avoiding past winning numbers would actually reduce your coverage of the probability space. Since draws are independent, a previously winning combination has exactly the same probability of occurring again as any other combination.