{"uid":"cap_yuZe6PhQ3hB0ZIzZIZj3C","slug":"kihustle-binomial-probability-calculator-64d3701d","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/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_M4nf8lTiC3jibtQ3z5lA4","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) given number of trials n, successes k, and probability p","exampleAgentPrompt":"What's the binomial probability of getting exactly 3 successes out of 10 trials, where each trial has a 0.25 chance of success?","exampleUseCases":[{"title":"A/B test success rate check","prompt":"If I run an A/B test with 50 visitors and each has a 10% conversion probability, what's the exact probability that exactly 7 of them convert?"},{"title":"Quality control defect probability","prompt":"In a batch of 100 manufactured parts where each part has a 2% defect rate, what's the binomial probability that exactly 3 parts come out defective?"},{"title":"Coin flip exact outcome probability","prompt":"If I flip a fair coin 20 times, what's the probability of getting exactly 8 heads?"}],"resultDescription":"Returns a JSON object with a 'result' field containing the computed binomial probability value and a 'status' field indicating success. The probability represents P(X=k) — the exact probability of observing k successes in n independent Bernoulli trials each with probability p.","failureModes":["Invalid parameter types (e.g. non-integer k or n) may return an error","k greater than n is mathematically invalid and may return an error or zero","p outside [0,1] range is invalid and may be rejected","Missing required parameters k, n, or p may return a 400-style error","Very large values of n may cause numerical precision issues"],"whenToPreferThis":"Choose this endpoint when you need a quick, pay-per-call computation of the exact binomial probability mass function without setting up a local math library. Useful for agents needing on-the-fly statistical calculations in workflows involving quality control, A/B testing, risk assessment, or any scenario with repeated independent binary trials.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-16T01:04:57.971Z","isFirstParty":false}