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Probability of At Most k Successes (Binomial) CalculatorCompute the binomial cumulative probability P(X ≤ k) for n trials with success probability p. Free, instant, with mean and complement.
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Independent Events Probability CalculatorCalculate the probability of two independent events: P(A and B), P(A or B) and P(neither) using the multiplication and addition rules. Free and instant.
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Gaussian Percentile Rank & Upper-Tail Probability CalculatorCompute P(Z > z) = 1 − Φ(z), the upper-tail probability of the standard normal distribution, plus the cumulative probability and percentile rank for any z-score.
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Probability of Exactly K Heads in N Flips CalculatorCompute the probability of getting exactly k heads in n coin flips using the binomial formula P = C(n,k) p^k (1-p)^(n-k). Free and instant.
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Probability of At Least One Success in n TrialsCalculate the probability of at least one success in n independent trials using P = 1 − (1−p)^n. Free, instant complement-rule probability calculator.
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Negative Binomial Mean and Variance CalculatorCalculate the interquartile range (IQR = Q3 − Q1) from your data set. Get Q1, median, Q3, IQR and outlier fences instantly with this free IQR calculator.
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Probability of Rolling at Least One SixCalculate the probability of rolling at least one six with n dice using P = 1 − (5/6)^n. Get the exact percentage and decimal odds instantly.
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Card Drawing Probability CalculatorCalculate the probability of drawing a given number of specific cards from a standard 52-card deck using the hypergeometric distribution.
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Z-Score to P-Value CalculatorConvert a z-score to a p-value for one-tailed or two-tailed tests using the standard normal distribution. Fast, accurate statistical significance lookup.
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Poker Outs to Odds CalculatorConvert poker outs into your chance to hit using the Rule of 4 and 2. Get approximate percentage, exact probability, and odds against for one or two cards.
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Z-Score to Percentile Rank CalculatorConvert a z-score to a percentile rank using the standard normal distribution. Enter any z value to find the percentage of data below it.
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Sampling Distribution of the Sample Mean CalculatorCompute the mean and standard error (σ/√n) of the sampling distribution of the sample mean from population mean, std dev, and sample size.
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Permutations & Combinations CalculatorCalculate permutations (nPr) and combinations (nCr) instantly. Enter n and r to find ordered arrangements and unordered selections using factorials.
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One-Proportion Z-Test CalculatorRun a one-proportion z-test online. Enter successes, sample size, and hypothesized proportion to get the z statistic, standard error, and p-value.
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Precision and Recall CalculatorCalculate precision, recall and F1 score from true positives, false positives and false negatives. Free classification metrics calculator.
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Binomial Mean & Standard Deviation CalculatorCompute the mean, variance, and standard deviation of a binomial distribution from n trials and probability p using μ=np and σ=√(np(1−p)).
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Permutation (nPr) CalculatorCalculate permutations nPr = n! / (n−r)! instantly. Find the number of ordered arrangements when choosing r items from n. Free, fast, and accurate.
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Absolute Value Graph Vertex CalculatorFree combination (nCr) calculator. Find how many ways to choose r items from n where order does not matter, using C(n,r) = n!/(r!(n-r)!).
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Return Period & Exceedance Probability CalculatorCalculate the probability that a storm or flood with return period T is exceeded at least once over n years. Free hydrology risk calculator.
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Interquartile Range (IQR) Outlier CalculatorFind Q1, Q3, IQR and detect outliers with the 1.5×IQR Tukey rule. Computes lower and upper fences from your data set instantly.
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One-Proportion Z-Test CalculatorRun a one-proportion z-test online. Enter successes, sample size, and hypothesized proportion to get the z statistic, standard error, and p-value.
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Discrete Probability Distribution CalculatorCompute the mean, variance and standard deviation of a discrete probability distribution from a table of values and probabilities. Free and instant.
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Sample Mean (Average) CalculatorCalculate the sample mean (average) of any data set. Enter your numbers and get x̄ = Σxi / n with sum and count instantly.
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Combination Calculator (nCr)Calculate combinations without repetition (nCr) instantly. Enter n and r to find how many ways you can choose r items from n where order does not matter.
