The manufacturer of a low-calorie dairy drink wishes to compare the taste appeal of a new formula (formula b) with that of the standard formula (formula a). each of four judges is given three glasses in random order, two containing formula a and the other containing formula b. each judge is asked to state which glass he or she most enjoyed. suppose that the two formulas are equally attractive. let y be the number of judges stating a preference for the new formula. find the probability function for y.