Dice roll simulator

The upper graph shows the absolute frequencies of the numbers thrown as a histogram. The lower graph shows the relative frequency of the event "6" is rolled. For growing numbers of attempts this value stabilizes at 1 / 6≈16,66%.

At the same time this is an empirical proof of the strong law of large numbers for binomial random variables: With increasing sample size the means of the random variables converges to the expected value which here is 1/6.



Absolute frequency

Relative frequency of the event "6"

The expected relative frequency of the event "6" is 16,66%.

 

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