Probability & Odds
Coin flip outcomes, lottery odds, joint probability of independent events, and combinations make up this subcategory, useful both for coursework and for sanity-checking real-world odds like a specific lottery draw.
Calculators & Tools
Lottery Calculator
The Lottery Calculator computes the probability of winning any lottery jackpot or prize tier based on the number of balls drawn, the pool size, and whether a bonus ball is required. It uses combinatorial mathematics to express your odds as a ratio and a percentage. Use it to compare odds across different lottery formats, understand prize tier probabilities, and see the expected value of a lottery ticket.
Odds Calculator
The Odds Calculator converts between probability and odds, and calculates the implied probability from fractional, decimal, or American odds formats. It works in both directions: enter a probability to get the equivalent odds, or enter odds to find the implied probability. Use it for statistical analysis, betting mathematics, or any scenario where you need to switch between the probability and odds representations of the same event.
Joint Probability Calculator
The Joint Probability Calculator computes the probability that two or more events all occur together. For independent events it multiplies the individual probabilities; for dependent events it applies the conditional probability formula. Use it to calculate the likelihood of combined outcomes in statistical analysis, risk assessment, and probability experiments.
Coin Flip Probability Calculator
The Coin Flip Probability Calculator computes the binomial probability of getting exactly k heads in n flips, plus cumulative probabilities (at least k, at most k). Works for fair and biased coins using P(k) = C(n,k) x p^k x (1-p)^(n-k).
Combination Calculator
The Combination Calculator computes C(n,r) = n!/(r!(n-r)!), the number of ways to choose r items from n without regard to order. Also calculates permutations P(n,r) = n!/(n-r)! where order matters.