The weak law of large numbers is a result in probability theory also known as Bernoulli's theorem. According to the law, the mean of the results obtained from a large number of trials is close to the population mean.

μ = Sample mean
n = Number of samples
X_{i} = Sample value

A six sided die is rolled large number of times. Calculate the sample mean of their values.

Sample Mean

Mean | = (1 + 2 + 3 + 4 + 5 + 6) / 6 |

= 21 / 6 | |

= 3.5 |