Write a program to simulate the sum on the toss of two dice 2000 times (as in Exercise 2.1.3). What is the observed frequency of an odd sum? What is the observed frequency of 7 or 11? What is the...

Write a program to simulate the sum on the toss of two dice 2000

times (as in Exercise 2.1.3). What is the observed frequency of

an odd sum? What is the observed frequency of 7 or 11? What is

the observed frequency of a sum less than 6? Assuming the 36

outcomes (i, j), i =1, 2, ••• , 6 and j =1, 2, ••• , 6, have

equal probability, find the theoretical probabilities corresponding to these events.