Dice, card and lottery odds, multinomials, expected value, exact distribution tables, gambler's ruin, Bayes and streaks.
payments ON MAINNET (real money) · 10 live endpoints
| Endpoint | Price | What it answers |
|---|---|---|
GET /bayes | $0.02 | Bayes' theorem: posterior probability from a prior, sensitivity and false-positive rate, with natural frequencies and odds form. |
GET /birthday-problem | $0.02 | Birthday problem: chance two people in a group share a birthday, chance someone shares yours, group size for 50 or 99 percent. |
GET /card-odds | $0.02 | Card odds: 5-card and 7-card poker hand probabilities, chance of hitting your outs by the river, blackjack natural odds. |
GET /dice-odds | $0.02 | Exact odds for dice pools: sum distribution, chance of reaching a target, mean and variance; supports drop-lowest like 4d6. |
GET /distribution-table | $0.02 | Exact pmf, cumulative and tail tables for geometric, negative binomial, hypergeometric, binomial and Poisson. |
GET /expected-value | $0.02 | Expected value, variance, standard deviation and chance of profit for a list of payoffs with probabilities or weights. |
GET /gamblers-ruin | $0.02 | Gambler's ruin: probability of going broke before hitting a target, and expected number of bets, for repeated unit bets. |
GET /lottery-odds | $0.02 | Lottery odds: jackpot odds and every match tier for pick-k-of-N games with an optional bonus pool (Powerball, EuroMillions). |
GET /multinomial | $0.02 | Multinomial coefficient (arrangements of repeated items like MISSISSIPPI) and multinomial probability for given odds. |
GET /streak-odds | $0.02 | Chance of a run: r successes in a row (or r identical outcomes) somewhere in n independent trials, like coin flips. |
GET /catalog returns this list as JSON. Activity hub · uptime.
Exact or closed-form probability maths computed locally, provided as is. Gambling, lottery and card odds describe fair, independent, uniformly random draws and ignore house rules, rake, taxes and prize sharing. Not gambling, investment or medical advice, and no system beats a negative-expectation game. Combinatorics basics (nCr, nPr, derangements) and the binomial, Poisson and normal distribution values live in the math-stats shelf and are not repeated here. Every paid response carries a disclaimer field.