Dice simulation. The following code computes the exact probability distribution for the sum of two dice: The value probabilities[k] is the probability that the dice sum to k. Run experiments that...

Dice simulation. The following code computes the exact probability distribution for the sum of two dice:

The value probabilities[k] is the probability that the dice sum to k. Run experiments that validate this calculation by simulating n dice throws, keeping track of the frequencies of occurrence of each value when you compute the sum of two uniformly random integers between 1 and 6. How large does n have to be before your empirical results match the exact results to three decimal places?