Let y be the number of sixes recorded on the throw of three dice. Find
Pr(y = 0), Pr(y = 1), Pr(y = 2), Pr(y = 3), Pr(y > 1), Pr(y < 3).
Suppose that in 16 throws of a single die a six appears on 8 occasions. Does this discredit the hypothesis that the die is fair? Use these data to obtain a 95% confidence interval for p.