Question

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

Answer 1

Answer:

0.953703703704

Step-by-step 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)

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