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Probability simulator

Outcome: heads or tails.

Same seed, same sequence: handy for a whole class.

0 trials so far.

0.0%15.6%31.3%46.9%62.5%Experimental: Heads = 0.0%Theoretical: Heads = 50.0%HeadsExperimental: Tails = 0.0%Theoretical: Tails = 50.0%Tails
ExperimentalTheoretical
Experimental versus theoretical probability
CategoryExperimentalTheoretical
Heads0.0%50.0%
Tails0.0%50.0%
OutcomeFrequencyRelative frequencyTheoretical PDifference
Heads00.0%50.0%—
Tails00.0%50.0%—

Law of large numbers

123456789100.20.40.60.81trialsP
Drag to pan, pinch or scroll to zoom, tap to trace. Keyboard: arrows, + / −, Home. x: 0 to 10 · y: -0.05 to 1.05

As the number of trials grows, the relative frequency settles near the theoretical probability (dashed).

Related topics: Random Variables · The Normal Distribution · Random Sampling

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