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Probability Calculator

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  • Generalized Pareto Distribution Calculator
    Generalized Pareto Distribution Calculator
    Compute and tabulate the Generalized Pareto Distribution: PDF, lower cumulative (CDF) and upper cumulative survival function over a sequence of x values.
    June 18, 2026
  • Pareto Distribution Calculator
    Pareto Distribution Calculator
    Compute the Pareto Type I distribution PDF, lower cumulative probability P(X less than or equal x), and upper cumulative probability at point x for scale xm and shape alpha.
    June 18, 2026
  • Necklace Permutation Table Calculator
    Necklace Permutation Table Calculator
    Generate a table of necklace permutations (n-1)!/2 — circular arrangements counted up to rotation and reflection — for any range of n up to 100.
    June 18, 2026
  • Probability Between Two Z-Scores Calculator
    Probability Between Two Z-Scores Calculator
    Enter lower and upper z-scores to get the area under the standard normal curve between them, plus left and right tail probabilities.
    June 18, 2026
  • Necklace Permutation Calculator
    Necklace Permutation Calculator
    Calculate the number of distinct necklace (bracelet) arrangements of n objects, where rotations and reflections are identical: (n-1)!/2 with exact big-integer math.
    June 18, 2026
  • Circular Permutation Table Calculator
    Circular Permutation Table Calculator
    Generate a table of circular permutations (n-1)! for a range of n. Pure combinatorics tool with arbitrary-precision results in scientific notation.
    June 18, 2026
  • Circular Permutation Calculator
    Circular Permutation Calculator
    Calculate the number of distinct circular permutations of n distinct objects using (n-1)!. Exact big-integer results for arrangements around a circle.
    June 18, 2026
  • Owen's T Function and V Function Calculator
    Owen's T Function and V Function Calculator
    Compute Owen's T function T(h,a) and the V function V(h,a) for the bivariate standard normal distribution by accurate numerical integration.
    June 18, 2026
  • Dice Roll Random Number Simulator
    Dice Roll Random Number Simulator
    Roll 1 to 4 six-sided dice up to 100 times. See every roll, each die face, the grand total, the average per trial and a frequency distribution.
    June 18, 2026
  • Normal Distribution Random Number Generator (Box-Muller Method)
    Normal Distribution Random Number Generator (Box-Muller Method)
    Generate pseudo-random numbers from a normal (Gaussian) distribution with your chosen mean and standard deviation using the Box-Muller transform.
    June 18, 2026
  • Von Mises Distribution Calculator
    Von Mises Distribution Calculator
    Compute the von Mises (circular normal) distribution: probability density f, lower cumulative P, or upper cumulative Q for given angle x, mean mu and concentration kappa.
    June 18, 2026
  • Frequency-Weighted Linear Regression Calculator
    Frequency-Weighted Linear Regression Calculator
    Fit a least-squares line y = A + Bx to frequency-weighted (x, y, f) data. Get slope, intercept, Pearson correlation r, means and sums of squares.
    June 18, 2026
  • Integer Uniform Random Number Generator
    Integer Uniform Random Number Generator
    Generate uniformly distributed random integers in any inclusive range. Choose how many values and whether duplicates are allowed. Free online tool.
    June 18, 2026
  • Scatter Plot Generator (with Correlation)
    Scatter Plot Generator (with Correlation)
    Plot paired (x, y) data as a scatter chart and get the Pearson correlation r, R squared, sample stats, covariance and the least-squares regression line.
    June 18, 2026
  • Normal Distribution Interval Probability Calculator (two points)
    Normal Distribution Interval Probability Calculator (two points)
    Compute probability density at two points and the inner/outer cumulative probability of a normal distribution N(mean, sd). Free, universal stats tool.
    June 18, 2026
  • Linear Regression (Least Squares) Calculator
    Linear Regression (Least Squares) Calculator
    Fit a least-squares straight line y = A + B·x to your (x, y) data. Get slope, intercept, correlation coefficient r and the fitted equation instantly.
    June 18, 2026
  • Bivariate Standard Normal Distribution Calculator
    Bivariate Standard Normal Distribution Calculator
    Compute the standard bivariate normal joint density f(x,y,rho) and the upper-tail orthant probability Q(x,y,rho)=P(U1>x, U2>y) for any correlation -1<rho<1.
    June 18, 2026
  • Gacha Complete-Collection Expected Number of Draws Calculator
    Gacha Complete-Collection Expected Number of Draws Calculator
    Calculate the expected number of gacha pulls or capsule-toy draws to collect every item in a set, using the Coupon Collector formula E(n)=n*H(n).
    June 18, 2026
  • Birthday Paradox Probability Table Calculator
    Birthday Paradox Probability Table Calculator
    Build a birthday paradox table: for each group size n, see the probability that at least one pair shares a birthday. Find where it crosses 50%.
    June 18, 2026
  • Binomial Distribution Calculator
    Binomial Distribution Calculator
    Compute binomial probability mass f(x,n,p), lower cumulative P(X&le;x), upper cumulative P(X&ge;x) and the mean n&middot;p for x successes in n trials.
    June 18, 2026
  • Binomial Distribution Percentile Point Calculator
    Binomial Distribution Percentile Point Calculator
    Invert the binomial CDF for B(n, p): enter a lower P or upper Q cumulative probability, trials n and success probability p to find the percentile point x.
    June 18, 2026
  • Binomial Distribution Calculator
    Binomial Distribution Calculator
    Compute and graph the binomial distribution: probability mass f(x), lower cumulative P(X<=x), and upper cumulative Q(X>=x) for n trials at probability p.
    June 18, 2026
  • Binomial Coefficient Calculator
    Binomial Coefficient Calculator
    Calculate the binomial coefficient C(n,k) — "n choose k" — using the formula n! / (k!(n−k)!). Find combinations instantly with a worked example.
    June 18, 2026
  • Hybrid Lognormal Distribution (PDF / CDF) Calculator
    Hybrid Lognormal Distribution (PDF / CDF) Calculator
    Compute the hybrid lognormal distribution HybLogN(rho x, mu, sigma): density f(x), lower cumulative P(x) and upper cumulative Q(x), tabulated over a range.
    June 18, 2026
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