{"uid":"cap_zQ0Ucxw52s2duOKXXpDfj","slug":"kihustle-binomial-probability-calculator-9938b867","name":"KiHustle Binomial Probability Calculator","description":"Kostenlose Guides, Solo-Playbooks und Artikel zu KI, Automation und Side Hustles — für Menschen, die mit echten Systemen online Einkommen aufbauen wollen. Transparent finanziert über faire Affiliate-Links.","url":"https://kihustle.tech/bot-bazaar/api/v1/binomial-probability","method":"POST","headers":{},"bodySchema":{"type":"object","properties":{"k":{"type":"integer"},"n":{"type":"integer"},"p":{"type":"number"}}},"responseSchema":{"type":"json","example":{"result":"processed","status":"success"}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.002","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.002/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.002","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.002","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_Mj8Wg_BHSrsaM_Dqm3anx","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.002","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes the binomial probability P(X=k) for a given number of trials n, successes k, and success probability p","exampleAgentPrompt":"What is the binomial probability of getting exactly 3 successes in 10 trials where each trial has a 0.4 probability of success?","exampleUseCases":[{"title":"Quality control defect probability","prompt":"In a manufacturing batch of 50 items, if each item has a 5% chance of being defective, what is the probability that exactly 2 items are defective?"},{"title":"Sports bet outcome likelihood","prompt":"If a basketball player makes 70% of their free throws, what is the probability they make exactly 8 out of 10 free throws?"},{"title":"A/B test success estimation","prompt":"If my website conversion rate is 12%, what's the probability that exactly 5 out of 30 visitors convert today?"}],"resultDescription":"Returns a JSON object with a 'result' field containing the computed binomial probability value and a 'status' field indicating success. The probability value represents P(X=k) — the likelihood of observing exactly k successes in n independent Bernoulli trials each with probability p.","failureModes":["Invalid input types (non-integer k or n) may cause computation errors","p value outside [0,1] range may return an error or undefined result","k greater than n is mathematically invalid and may return an error","Missing required fields k, n, or p will likely result in a 400-style error","Very large n values may cause numerical precision issues"],"whenToPreferThis":"Choose this endpoint when you need a quick, stateless computation of the exact binomial probability mass function P(X=k) and do not want to implement the calculation locally. Ideal for agents doing statistical reasoning, probability estimations, or educational math tasks. Prefer this over general-purpose code execution when you want a simple pay-per-call API with no setup.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-13T13:07:06.953Z","isFirstParty":false}