Generate random numbers from a seed: integers in a range, decimals, lottery-style draws without repeats and dice rolls, repeatable with xoshiro256**.
Aggiornato Esempi verificati: 6
These 10 numbers come from seed “2026”: anyone using the same seed and settings gets exactly the same list, which makes draws auditable. Pseudorandom output like this is fine for games, sampling and simulations but not for passwords or cryptographic keys.
The seed 2026 is used directly as the 64-bit starting value.
SplitMix64, started from the seed, fills the four 64-bit words of xoshiro256**, which then produces one 64-bit output per step.
Rejecting the top sliver of outputs makes every value exactly equally likely. Results depend only on the seed; an unseeded mode using fresh entropy is not implemented in this calculation.
Numbers come from xoshiro256**, a 64-bit pseudorandom generator by Blackman and Vigna with a period of 2²⁵⁶ − 1, whose starting state is filled from your seed by SplitMix64. Each 64-bit output x becomes min + (x mod m), where m is the number of possible values, after outputs from the top sliver of the 64-bit range are thrown away so that every value is exactly equally likely. Decimals are drawn as whole numbers of 10⁻ᵈ steps and divided back.
The default draws 10 integers from 1 to 100 with seed 2026: 10, 13, 19, 87, 95, 37, 73, 40, 32, 34. Anyone who enters the same seed and settings gets the same list, so raffle draws, classroom samples and simulations can be checked afterwards.
A seed-driven list is predictable to anyone who knows or guesses the seed, so it is unsuitable for passwords, encryption keys or prize draws where the seed is not published in advance.
Fonte di verifica: Independent Python transcription of Vigna's splitmix64.c and xoshiro256starstar.c with the same rejection mapping (scratch script; its SplitMix64 matches the published seed-0 value 0xE220A8397B1DCDAF)
Fonte di verifica: Same Python reference implementation
Fonte di verifica: Same Python reference implementation (integer draw in [0, 1000], divided by 10³)
Fonte di verifica: Python reference; the text seed hashes to FNV-1a 64 0xa430d84680aabd0b, the published FNV-1a hash of “hello”
No, they are pseudorandom: a fixed calculation turns the seed into a sequence that looks random but repeats exactly for the same seed. That suits games, sampling and simulation. Passwords and keys need a cryptographically secure generator, such as the browser's crypto.getRandomValues or a deterministic random bit generator specified in NIST SP 800-90A, which an observer cannot predict from past outputs.
The seed sets the generator's starting state, so the same seed and settings always give the same numbers on any device. A whole-number seed from 0 to 18,446,744,073,709,551,615 (2⁶⁴ − 1) is used directly; any other text is hashed with 64-bit FNV-1a. For example, 3 six-sided dice with the seed hello always roll 1, 6, 1.
Set the range to 1–49, How many to 6 and turn on No repeats; a duplicate is redrawn until 6 different numbers remain. Each of the C(49, 6) = 13,983,816 possible sets is equally likely, including 1, 2, 3, 4, 5, 6. Turn on Sort the results to list them in order, as lottery tickets do.
Because the plain remainder favours some values whenever the range doesn't divide the number of possible outputs. A toy generator with 8 outputs (0–7) mapped to 3 values by x mod 3 gives remainders 0, 1, 2, 0, 1, 2, 0, 1, so two values get 3/8 and one gets 2/8. Rejecting outputs 6 and 7 makes each value exactly 1/3; this calculator applies the same rule to its 2⁶⁴ outputs.
La precisione dipende dai dati inseriti e dalle ipotesi del metodo. Il calcolo decimale usa 50 cifre significative, ma stime, metodi numerici e dati di origine possono essere meno precisi; l’arrotondamento visualizzato non elimina questi limiti. Esempi svolti verificati con fonti indipendenti: 6. Per esempio, «Ten integers 1–100, seed 2026 (defaults)» viene verificato con Independent Python transcription of Vigna's splitmix64.c and xoshiro256starstar.c with the same rejection mapping (scratch script; its SplitMix64 matches the published seed-0 value 0xE220A8397B1DCDAF).
Blackman & Vigna, Scrambled linear pseudorandom number generators (xoshiro256**), ACM TOMS 47(4), 2021; Steele, Lea & Flood, Fast splittable pseudorandom number generators (SplitMix64), OOPSLA 2014; Fowler–Noll–Vo hash, FNV-1a 64-bit parameters (IETF draft-eastlake-fnv).
Questa calcolatrice include 6 esempi svolti con risposte da fonti indipendenti. Fanno parte della suite di test e puoi eseguirli anche qui.
Exact probability of dice sums, coin-flip heads and streaks, drawing special cards from a deck and each 5-card poker hand, as a fraction and 1 in N.
Descriptive statistics calculator: mean, median, mode, standard deviation, variance, quartiles, IQR, outliers, skewness and kurtosis, with a histogram.
Calculate nCr and nPr exactly: combinations and permutations with or without repetition, for poker hands, lottery odds and PIN codes.
Calculate P(A or B), P(A and B) and P(A | B) for two events, or apply Bayes' theorem to a test result, with a probability tree and Venn diagram.
Calculate expected value E[X], variance and standard deviation for a bet, game or decision from its outcomes and their probabilities or weights.
Convert odds between fractional, decimal and American (moneyline) formats and get the implied probability, worked in exact fractions.