Three dices are tossed. Find:?

Question

a. probability all three dices are sixes

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

Answer 1

Since each die can have six possible values, the total number of rolls possible is 6 x 6 x 6 = 216.

There is only one way to get three sixes, the probability of three sixes is 1 in 216 or 0.46%.

There are 6 combinations that add to 16:

4 6 6

6 4 6

6 6 4

5 5 6

5 6 5

6 5 5

so the probability is 6 in 216 = 1 in 36 = 2.78%