Question

how do you think the relative frequency probability would compare to the theoretical probabilities if we rolled the pair of dice 500 time? 1,000 times and 1,000,000

Answer 1

Relative frequency Probability is given by the observed frequency of the numbers obtained on the throw of the die/total. The theoretical Probability is that we expect each number to occur with equal Probabilities. By the law of large numbers we know that as the sample size increases, the relative frequency Probability equals the theoretical Probability. So for n=500 it might not be completely equal but as n increases to 1,000,000 we expect relative frequency Probability of the number observed on the die to equal the theoritical Probability.