Question

40. If three dice are tossed, find the probability that the sum is less than 16.

Answer 1

0.953703703704

Explanation:

We have 6 × 6 × 6 = 216 possible results

You can make a table :

obtaining a sum of 18 in only one case : (6 ,6 ,6)

obtaining a sum of 17 in 3 cases : (5 ,6 ,6) ; (6 ,5 ,6) ; (6 ,6 ,5)

obtaining a sum of 16 in 6 cases : (5 ,5 ,6) ; (6 ,5 ,5) ; (5 ,6 ,5)

(4 ,6 ,6) ; (6 ,4 ,6) ; (6 ,6 ,4)

`\text{the probability that the sum is less than 16} =(216-\left( 1+3+6\right) )/(216) = (206)/(216) =0.953703703704`