{"uid":"cap_U3OY_5Rc6dHEB-QJmZdMB","slug":"binomial-probability-calculator-ef18b556","name":"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/agents/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_sH_ZrcFhsdzd8RP9yebuF","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, number of successes k, and probability of success p.","exampleAgentPrompt":"What's the exact 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 batch of 20 items where each has a 5% chance of being defective, what's the exact probability that exactly 2 of them are defective?"},{"title":"Coin flip outcome likelihood","prompt":"If I flip a fair coin 15 times, what's the probability I get exactly 8 heads?"},{"title":"Sales conversion rate analysis","prompt":"My sales team has a 30% close rate on leads. What's the probability that exactly 4 out of 10 prospects convert this week?"}],"resultDescription":"Returns a JSON object with a computed binomial probability result (the probability mass function value P(X=k)) and a status field confirming successful computation.","failureModes":["Invalid k or n values (e.g. k > n, negative integers) may return an error or unexpected result","p outside [0,1] range will likely cause a computation error","Missing required parameters (k, n, or p) may return a 400-level error","Non-integer values for k or n may be rejected or produce incorrect results"],"whenToPreferThis":"Use this endpoint when you need a quick, pay-per-call binomial probability computation without setting up a local math library or statistical environment. Suitable for agents that need occasional point-probability lookups for discrete binary-outcome scenarios such as quality control, A/B testing analysis, or risk modeling.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T12:41:05.959Z","isFirstParty":false}