One roll
For a fair six-sided die, each face has probability 1/6. This describes a model, not a promise to see every face once in six rolls. Two identical consecutive values are possible. Animation visualizes a roll; its duration does not itself determine the probabilities.
The sum of several dice
The sum of two ordinary dice is not uniform. Seven has six ordered combinations, while two has only one: 1 and 1. Uniformly selecting a number from 2 to 12 is therefore different from rolling two independent six-sided dice and adding their values.
A classroom experiment
Choose a sample size in advance and record the counts of every face. Compare frequencies with the expected proportions without changing the stopping rule when a pleasing result appears. The experiment illustrates variability, but even a large sample does not prove cryptographic security.
Questions and answers
Are repeated faces an error?
No. Independent rolls can return the same value.
Is the sum of two dice uniform?
No. Some sums have more possible combinations.
