Two 6-sided dice are rolled. what is the probability that the sum of the two numbers on the dice will be greater than 8?

Answer: 5/18

Step-by-step explanation:

The sample space when two 6 - sided dice are rolled is given below:

(+) 1 2 3 4 5 6

1 2 3 4 5 6 7

2 3 4 5 6 7 8

3 4 5 6 7 8 9

4 5 6 7 8 9 10

5 6 7 8 9 10 11

6 7 8 9 10 11 12

The total sample space is 36.

Sum greater than 8 are : {9,10,11,12}

which are 10 in number:

Therefore : the probability that the sum of the two numbers on the dice will be greater than 8 will be:

number of the sum greater than 8 / Total sample space

That is;

P (sum greater than 8) = 10/36

P (sum greater than 8) = 5/18