Take two dice (one white and one colored)

and roll them 50 times, recording the results as ordered pairs [(white, color); for example, (3, 5) represents 3 on the white die and 5 on the colored die]. (You could simulate these 50 rolls using a random-number table or a computer.) Then calculate each observed probability:

a. P (white die is an odd number)

b. P (sum is 6)

c. P (both dice show odd number)

d. P (number on color die is larger than number on white die)

e. Explain why these answers and the answers found in Exercise 4.18 above are not exactly the same.