Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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The following code computes the exact probability distribution for the sum of two dice:
int SIDES = 6;
double[] dist = new double[2*SIDES+1];
for (int i = 1; i <= SIDES; i++)
for (int j = 1; j <= SIDES; j++)
dist[i+j] += 1.0;
for (int k = 2; k <= 2*SIDES; k++)
dist[k] /= 36.0;
The value dist[i] is the probability that the dice sum to k. Run experiments to validate this calculation simulating N dice throws, keeping track of the frequencies of occurrence of each value when you compute the sum of two 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?
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