Binomial distribution
API · /probability-api
Probability API
salutare
4,509 Abbonati
Probability distributions and combinatorics as an API. The binomial endpoint gives the probability of exactly k successes in n trials (PMF), the cumulative probability up to k (CDF), and the mean, variance and standard deviation. The poisson endpoint does the same for the Poisson distribution from a rate λ. The normal endpoint computes the z-score, probability density, cumulative probability (CDF) and percentile for a value under a normal distribution with any mean and standard deviation — and runs in reverse, turning a probability into the value (the quantile / inverse CDF) and its z-score. The combinatorics endpoint computes combinations (nCr), permutations (nPr) and factorials with exact big-integer arithmetic. Everything is computed locally and deterministically, so it is instant and private. Ideal for data science and statistics, quality control and A/B-test planning, gaming and gambling odds, risk modelling, and statistics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 5 endpoints. This is probability theory; for descriptive statistics on a dataset use a statistics API and for general expression evaluation use a math API.
api.oanor.com/probability-api
API salute
salutare- Tempo di attività
- 100.00%
- Sondaggi del server · 24 ore su 24
- Latenza media
- 74 ms
- Sondaggi del server · 24 ore su 24
- Abbonati
- 4,509
- attiva
- Chiamate totali
- 95
- ultimi 7 giorni
Prezzi
Scegli un livello: fatturazione mensile, annullamento in qualsiasi momento.
Free
Gratis
- 8,035 chiamate/mese
- 2 richieste/secondo
- Tetto rigido (429 sopra la quota, nessuna eccedenza)
- 8,035 calls/month
- 2 req/sec
- Binomial / Poisson / normal / combinatorics
- No credit card
Starter
€9.55 /mese
- 17,550 chiamate/mese
- 8 richieste/secondo
- Tetto rigido (429 sopra la quota, nessuna eccedenza)
- 17.55k calls/month
- 8 req/sec
- PMF / CDF / quantile
- Email support
Pro
€29.45 /mese
- 226,500 chiamate/mese
- 20 richieste/secondo
- Tetto rigido (429 sopra la quota, nessuna eccedenza)
- 226.5k calls/month
- 20 req/sec
- Data-science pipelines
- Priority support
Mega
€67.45 /mese
- 1,175,000 chiamate/mese
- 50 richieste/secondo
- Tetto rigido (429 sopra la quota, nessuna eccedenza)
- 1.175M calls/month
- 50 req/sec
- Platform scale
- Dedicated SLA
Costruito da
Correlato APIs
Altro APIs con tag sovrapposti.
Lottery Odds API
Lottery combinatorics as an API, computed locally and deterministically and exactly — the real odds behind a ticket, the maths the jackpot poster never shows. The odds endpoint gives the jackpot odds of a pick-N game as the number of possible tickets, C(pool, picks), times the bonus-ball pool if there is one: a 6/49 game is 1 in 13,983,816, a 5/69-plus-1/26 Powerball-style game is 1 in 292,201,338, and every single line is equally unlikely. The match-odds endpoint gives the chance of matching exactly k of the main numbers — a prize tier — from the hypergeometric formula C(picks, k)·C(pool−picks, picks−k) ÷ C(pool, picks), so matching 3 of 6 in a 6/49 game is about 1 in 57. The expected-value endpoint turns a jackpot and ticket price into the expected value and the break-even jackpot (price × the odds), the threshold a jackpot must clear before a ticket is even theoretically worth it — before a shared jackpot, lump-sum and tax pull it back under. Everything is computed locally and deterministically, so it is instant and exact. Ideal for lottery and odds apps, gambling-education and responsible-play tools, probability teaching, and game back-ends. Pure local computation — no key, no third-party service, instant. Exact combinatorics. Live, nothing stored. 3 compute endpoints. Educational — not gambling advice; the odds are always against you.
api.oanor.com/lottery-api
Roulette Odds API
Roulette-Odds-Mathematik als API, lokal und deterministisch und exakt berechnet – die Auszahlung, die wahre Wahrscheinlichkeit und der Hausvorteil hinter jeder Wette, die Zahlen, die Ihnen ein faires Spiel verrät und die ein Casino lieber ignorieren würde. Der Auszahlungs-Endpoint gibt die Auszahlung einer Wette, die Gewinnzahlen, die Gewinnwahrscheinlichkeit und den Hausvorteil für ein europäisches (Single-Zero) oder amerikanisches (Double-Zero) Rad aus: Eine einfache Zahl zahlt 35 zu 1, gewinnt aber nur 1 von 37, ein Vorteil von 2,70 % europäisch oder 5,26 % amerikanisch, bei fast jeder Wette gleich, weil die Auszahlung die Nullen einfach ignoriert. Der Expected-Value-Endpoint wandelt einen Einsatz in seinen Erwartungswert um – Einsatz × (Gewinnwahrscheinlichkeit × (Auszahlung + 1) − 1), immer negativ und gleich minus Einsatz mal Hausvorteil – also €10 auf eine einzelne Zahl auf einem europäischen Rad sind −€0,27 pro Drehung wert. Der Martingale-Endpoint legt das Verdopplungssystem offen: total riskiert = Basis × (2^Schritte − 1), der Einsatz, der nach einer Verlustserie explodiert, und die Pleite-Wahrscheinlichkeit – Beweis der Mathematik, dass keine Progression die Null schlägt. Alles wird lokal und deterministisch berechnet, also ist es sofort und exakt. Ideal für Casino-Spiel- und Odds-Apps, Glücksspiel-Bildungs- und verantwortungsvolle Spiel-Tools, Game-Design-Backends und Wahrscheinlichkeitslehre. Reine lokale Berechnung – kein Key, kein Drittanbieter-Service, sofort. Live, nichts gespeichert. 3 Compute-Endpoints. Lehrreich – kein Wettberatung; das Haus gewinnt langfristig immer.
api.oanor.com/roulette-api
Dice Probability API
Tabletop dice-probability maths as an API, computed locally and deterministically and exactly — the odds behind the rolls, not the rolls themselves. The advantage endpoint gives the D&D-style chances of beating a target on a d20 (or any die) rolling normally, with advantage (roll twice, keep the higher) or with disadvantage (keep the lower): needing an 11+ is 50 % normally, 75 % with advantage and 25 % with disadvantage, and it reports the average roll — advantage lifts a d20 from 10.5 to about 13.8. The pool endpoint handles success-counting systems (World of Darkness, Shadowrun): for a pool of dice that succeed on a face at or above a threshold it gives the chance per die, the expected number of successes and the exact binomial probability of getting exactly, or at least, a target number — six d10s succeeding on 7+ average 2.4 successes with a 45.6 % chance of three or more. The exploding endpoint gives the mean of an exploding ("acing", open-ended) die that re-rolls and adds on its maximum face — a d6 averages 4.2 instead of 3.5. Everything is computed locally and deterministically, so it is instant and private. Ideal for tabletop, virtual-tabletop, game-design and TTRPG app developers, odds-and-probability helpers, and game-master tools. Pure local computation — no key, no third-party service, instant. Exact maths, no simulation. Live, nothing stored. 3 compute endpoints. For random rolls use a dice-roller API.
api.oanor.com/dicepool-api
Birthday Paradox API
Birthday-paradox and collision-probability maths as an API, computed locally and deterministically. The probability endpoint computes the chance that at least two of n people share a birthday among d equally likely days, P = 1 − Π(1 − i/d), evaluated in log space for accuracy — the famous result that just 23 people give about a 50.7 % chance, 50 people about 97 % and 70 people about 99.9 %. The people-needed endpoint inverts it: the smallest group size to reach a target probability (23 for 50 %, 57 for 99 %), with the √(2·d·ln(1/(1−p))) approximation. The collision endpoint generalises the birthday bound to any space — pass a number of buckets or a hash size in bits — and returns the collision probability P ≈ 1 − e^(−n²/2d), the rule behind hash collisions and UUID-uniqueness estimates, where a 50 % chance needs roughly 1.177·√d items. Days and buckets default to 365. Everything is computed locally and deterministically, so it is instant and private. Ideal for probability-education, security, cryptography, hashing, data-engineering and statistics app developers, collision-risk and birthday-problem tools, and teaching material. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is the birthday/collision probability; for full distributions use a probability API.
api.oanor.com/birthdayparadox-api
Domande frequenti
Risposte rapide su prezzi, quote e integrazione.
Come ottengo una chiave API per Probability API?
Registrati gratuitamente su oanor.com, genera una chiave API dalla dashboard sviluppatore e chiama Probability API con l'header x-oanor-key. Nessuna carta di credito richiesta per il piano gratuito.
Qual è il limite di velocità di Probability API?
Il piano gratuito consente 1 richiesta al secondo. I piani a pagamento arrivano fino a 50 richieste al secondo nel piano Mega. I limiti rigorosi restituiscono HTTP 429 oltre la quota — nessuna spesa imprevista.
Quanto costa Probability API?
Probability API ha un piano gratuito con 100 chiamate / mese. I piani a pagamento partono da €9.55 / mese con quote più alte e limiti di velocità più rapidi.
Posso cancellare l'abbonamento in qualsiasi momento?
Sì. I piani sono fatturati mensilmente e puoi cancellare in qualsiasi momento dalla dashboard di fatturazione. Nessun contratto a lungo termine e nessuna penale di cancellazione.
Probability API è conforme al GDPR?
Tutte le richieste a Probability API passano attraverso il nostro gateway in UE. La tua chiave upstream non lascia mai il nostro server e nessun dato personale viene condiviso con il fornitore upstream oltre alla richiesta inviata.
Scegli un endpoint dall'elenco a sinistra per visualizzarne i dettagli e provarlo.
Frammenti di codice
Iscriviti per ottenere una chiave API, quindi chiama qualsiasi percorso sotto il tuo slug.
curl https://api.oanor.com/probability-api/SOME_PATH \
-H "x-oanor-key: oanor_test_..."const res = await fetch("https://api.oanor.com/probability-api/SOME_PATH", {
headers: { "x-oanor-key": "oanor_test_..." }
});
const data = await res.json();$ch = curl_init("https://api.oanor.com/probability-api/SOME_PATH");
curl_setopt($ch, CURLOPT_RETURNTRANSFER, true);
curl_setopt($ch, CURLOPT_HTTPHEADER, ["x-oanor-key: oanor_test_..."]);
$response = curl_exec($ch);import requests
r = requests.get(
"https://api.oanor.com/probability-api/SOME_PATH",
headers={"x-oanor-key": "oanor_test_..."},
)
print(r.json())Valutazioni
Accedi per votare.
Nessuna recensione ancora.
Discussione
Fai domande, condividi consigli, ricevi risposte dal provider e dagli altri sviluppatori. Pubblico — chiunque può leggere.
Accedi per scrivere o rispondere.
AccediNuova discussione
📌 Fissato
🔒 Bloccato
·
·
·
-
Risposta del provider
🔒 Discussione bloccata — non si può più rispondere.
-
·
- Nessuna discussione — inizia tu.
Supporto
Supporto privato 1:1 con il provider — fatturazione, integrazione, account. Solo tu e il team del provider vedete questi thread.
Accedi per aprire un ticket di supporto.
AccediApri nuovo ticket
Descrivi cosa ti serve. Il team del provider riceve un'email e risponde sulla pagina del ticket.
-
·
Urgente - Nessun ticket per questa API.