{"uid":"cap_qPFLnhoHuClLZ5K75VN-c","slug":"kihustle-bayes-probability-calculator-eb7189a8","name":"KiHustle Bayes 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/probability-bayes?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"type":"object","properties":{"p_a":{"type":"number"},"p_b_given_a":{"type":"number"},"p_b_given_not_a":{"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_J8FJG84GMDn4bJBIIS3mt","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 posterior probability using Bayes' theorem given prior probability, likelihood, and false-positive rate","exampleAgentPrompt":"Calculate the Bayesian posterior probability for me: my prior P(A) is 0.1, the likelihood P(B|A) is 0.9, and the false-positive rate P(B|not A) is 0.05.","exampleUseCases":[{"title":"Medical test result interpretation","prompt":"I have a disease with 1% prevalence in the population. A test for it is 95% accurate when the disease is present, and has a 10% false-positive rate. What's the probability I actually have the disease if I test positive?"},{"title":"Spam filter posterior update","prompt":"My prior probability that an email is spam is 0.3. Given a spam email, there's an 80% chance it contains the word 'free'. Given a non-spam email, there's a 5% chance it contains 'free'. What's the posterior probability this email is spam if it contains 'free'?"},{"title":"Investment signal confidence","prompt":"There's a 20% prior chance a stock will outperform the market. My trading signal fires on 70% of outperforming stocks and 15% of underperforming ones. What's the updated probability that this stock outperforms given my signal just fired?"}],"resultDescription":"Returns a JSON object indicating the computed Bayesian posterior result and a success status. The result field contains the calculated posterior probability P(A|B) derived from the three input probabilities using Bayes' theorem.","failureModes":["Missing required input fields (p_a, p_b_given_a, p_b_given_not_a) causing a 400 error","Probability values outside the valid [0,1] range causing computation errors","Division by zero if p_b (total probability of B) is zero","Payment failure via x402 protocol resulting in 402 response","Ambiguous or vague response schema — only 'processed'/'success' returned without explicit posterior value"],"whenToPreferThis":"Use this endpoint when you need a lightweight, pay-per-call Bayesian posterior calculation without setting up a local statistics library. Ideal for AI agents that periodically need to update probability estimates in pipelines, chatbots answering statistical questions, or automations that incorporate probabilistic reasoning steps without requiring a full data science stack.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-13T12:48:05.215Z","isFirstParty":false,"canonicalSlug":"kihustle-bayes-probability-calculator-c0df7d82"}