# Services from probability-calc.x402tookit.com on Zero

> probability-calc.x402tookit.com serves 10 paid API services for AI agents, indexed by Zero. Each is callable per call with payment handled by Zero.

Canonical page: https://www.zero.xyz/host/probability-calc.x402tookit.com
Live health (JSON, refreshed every minute): https://www.zero.xyz/host/probability-calc.x402tookit.com/health.json

## Services

- [Card Odds Calculator](https://www.zero.xyz/c/card-odds-calculator-812f2e25/llms.txt): $0.02/call via x402. Calculates poker hand probabilities (5-card and 7-card), outs-to-river odds, and blackjack natural odds via configurable modes.
- [Expected Value & Probability Calculator](https://www.zero.xyz/c/expected-value-probability-calculator-d3098682/llms.txt): $0.02/call via x402. Computes expected value, variance, standard deviation, and probability of profit for a discrete set of payoff/probability pairs.
- [Probability Calculators – Discrete Distribution Tables](https://www.zero.xyz/c/probability-calculators-discrete-distribution-tables-a80c02af/llms.txt): $0.02/call via x402. Returns exact PMF, cumulative (CDF), and upper-tail probability tables for geometric, negative binomial, hypergeometric, binomial, and Poisson distributions.
- [Gambler's Ruin Calculator](https://www.zero.xyz/c/gambler-s-ruin-calculator-edb9012d/llms.txt): $0.02/call via x402. Calculates the probability of going broke before reaching a target bankroll, and the expected number of bets, for repeated unit-bet gambling scenarios.
- [Bayes' Theorem Posterior Probability Calculator](https://www.zero.xyz/c/bayes-theorem-posterior-probability-calculator-49177115/llms.txt): $0.02/call via x402. Computes posterior probability from a prior, sensitivity, and false-positive rate using Bayes' theorem, with natural frequencies and odds form output.
- [Dice Pool Probability Calculator](https://www.zero.xyz/c/dice-pool-probability-calculator-724736e6/llms.txt): $0.02/call via x402. Computes exact probability distributions, target sum chances, mean, and variance for dice pools including drop-lowest mechanics like 4d6dl1.
- [Streak Probability Calculator](https://www.zero.xyz/c/streak-probability-calculator-edb0e0b3/llms.txt): $0.02/call via x402. Calculates the probability of getting a run of r consecutive identical outcomes somewhere within n independent trials (e.g. coin flips).
- [Lottery Odds Calculator](https://www.zero.xyz/c/lottery-odds-calculator-be243ed0/llms.txt): $0.02/call via x402. Computes jackpot odds and every match-tier probability for pick-k-of-N lottery games with an optional bonus pool (e.g. Powerball, EuroMillions).
- [Multinomial Coefficient & Probability Calculator](https://www.zero.xyz/c/multinomial-coefficient-probability-calculator-ac00b891/llms.txt): $0.02/call via x402. Computes the multinomial coefficient (number of arrangements of items with repeats, e.g. MISSISSIPPI) and optionally the multinomial probability given outcome probabilities.
- [Birthday Problem Probability Calculator](https://www.zero.xyz/c/birthday-problem-probability-calculator-3aa92eee/llms.txt): $0.02/call via x402. Calculates birthday problem probabilities: chance any two people in a group share a birthday, chance someone shares your birthday, and group sizes needed for 50% or 99% probability thresholds.

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

- [Zero catalog index](https://www.zero.xyz/llms.txt)