Find probability?

Question

Three dices are tossed. Find.

probability all three dice ar sixes

probability the sum of the numbers on the dice add to 16

Answer 1

Didn't you just ask this question or do multiple people have the same homework question?

The solution is the first answer in the other version of this question from 2 hours ago.

Answer 2

the probability that all three are 6's is : 1/6 * 1/6 * 1/6 = 1/216

three dice pmf

P(sum = 3 ) = 1 / 216 =  0.00462963

P(sum = 4 ) = 3 / 216 =  0.01388889

P(sum = 5 ) = 6 / 216 =  0.02777778

P(sum = 6 ) = 10 / 216 =  0.0462963

P(sum = 7 ) = 15 / 216 =  0.06944444

P(sum = 8 ) = 21 / 216 =  0.09722222

P(sum = 9 ) = 25 / 216 =  0.1157407

P(sum = 10 ) = 27 / 216 =  0.125

P(sum = 11 ) = 27 / 216 =  0.125

P(sum = 12 ) = 25 / 216 =  0.1157407

P(sum = 13 ) = 21 / 216 =  0.09722222

P(sum = 14 ) = 15 / 216 =  0.06944444

P(sum = 15 ) = 10 / 216 =  0.0462963

P(sum = 16 ) = 6 / 216 =  0.02777778

P(sum = 17 ) = 3 / 216 =  0.01388889

P(sum = 18 ) = 1 / 216 =  0.00462963