{"uid":"cap_T8lcMXHelrRrp_z5OTgfb","slug":"kihustle-binomial-probability-calculator-c15d5c73","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/nexus/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_2dF8fUl_bPJs6nIuaE0Cj","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 the number of trials n, successes k, and probability of success p","exampleAgentPrompt":"What's the probability of getting exactly 3 successes in 10 independent trials where each trial has a 0.4 chance of success?","exampleUseCases":[{"title":"Quality control defect probability","prompt":"In a batch of 20 manufactured parts, each with a 0.05 defect rate, what's the exact probability that exactly 2 of them are defective?"},{"title":"Exam guessing odds","prompt":"If a student randomly guesses on a 15-question true/false test, what's the probability they get exactly 9 correct?"},{"title":"Clinical trial success likelihood","prompt":"In a clinical trial with 50 patients where each has a 0.7 probability of responding to treatment, calculate the exact probability that exactly 38 patients respond positively."}],"resultDescription":"Returns a JSON object with a 'result' field containing the computed binomial probability value and a 'status' field confirming success. The result represents P(X=k) — the exact probability of observing k successes in n independent Bernoulli trials each with probability p.","failureModes":["Missing required parameters (k, n, or p) may return an error or unexpected result","Invalid values such as k > n, p outside [0,1], or negative integers may cause computation errors","Non-integer values for k or n may be rejected or silently truncated","Server-side errors may return generic status responses without detailed error messages"],"whenToPreferThis":"Choose this endpoint when you need a quick, cheap ($0.002 per call) server-side computation of the exact binomial probability mass function for discrete, independent Bernoulli trials. Prefer it over local computation when you want to offload math to a remote API within an agent workflow or when binomial PMF is just one step in a larger automated pipeline.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T00:58:10.123Z","isFirstParty":false}