Question

In a throw of 13 unbiased dice, the most probable sum(s) of the numbers that show on the upper surfaces of dice is
(a) 45. (b) 46
(c) 39. (d) Either (a) or (b)

(with explanation)

Answer 1

Answer:

In the case of dice, which include all consecutive numbers between 1 and 6, the most likely sum of multiple dice is logically going to be, due to symmetry of the probability distribution, the center value(s). For the example of two dice the possible range is 2-12, the center value is 7. The possible range would be: 13-78, in this case the center values are 45 and 46.