A single die is rolled many times and the side that faces up is recorded. Eventually, we expect the number of times that we observe a 1, 2, 3, 4, 5, and 6 to be relatively close to one another. This expectation is due to the law of large numbers.

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The law of large numbers states that as the number of trials increases, the average of the results obtained from those trials is expected to get closer to the expected value, which in the case of a fair die is an equal distribution among the six outcomes (1, 2, 3, 4, 5, and 6).

A Single Die Is Rolled Many Times and the Side