This simulation demonstrates the law of large numbers, a key theorem in probability theory, which describes the result of performing the same experiment a large number of times. According to the law, the average of the results obtained from a large number of trials should be close to the expected (theoretical) value, and will tend to become closer as more trials are performed. When rolling a die, the theoretical chance of landing on each face is 1/6. But when conducting an experiment with only a few rolls, the results are likely to be much different. However, rolling one die a thousand times will produce results closer to 16.67% (1/6). Try rolling the die 1, 5, 100 and 1000 times. Observe the results.
Thanks to Brian Aspinall for this.
