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Statistics

Binomial Probability Calculator

Compute the exact probability of getting exactly k successes in n independent trials, each with probability p. Use this when modeling coin flips, quality control tests, or any repeated yes/no experiment.

Fill in the required fields to see your result.
Statistics

Confidence Interval Calculator

Compute the lower and upper bounds of a confidence interval for a population mean using a sample mean, the standard error of that mean, and a critical z-value (1.645 / 1.96 / 2.576 for 90% / 95% / 99% confidence). This is the standard way to report uncertainty around survey results, lab measurements, or any sample-based estimate.

Fill in the required fields to see your result.

Key differences

Binomial Probability CalculatorConfidence Interval Calculator
CategoryStatisticsStatistics
Inputs required33
ResultBinomial ProbabilityLower Bound
What it doesCompute the exact probability of getting exactly k successes in n independent trials, each with probability p. Use this when modeling coin flips, quality control tests, or any repeated yes/no experiment.Compute the lower and upper bounds of a confidence interval for a population mean using a sample mean, the standard error of that mean, and a critical z-value (1.645 / 1.96 / 2.576 for 90% / 95% / 99% confidence). This is the standard way to report uncertainty around survey results, lab measurements, or any sample-based estimate.