Determine the theoretical probability of rolling a number larger than 2 on a standard 6-sided cube.

1/2
2/3
5/6
1/3

Hence, the probability of rolling a number larger than 2 is:

                              2/3

The sample space on rolling a standard six-sided cube is:

                    {1,2,3,4,5,6}

Total number of outcomes=6

Number of outcomes which are more than 2 i.e. number of favorable outcomes are: 4

( Since, the outcomes are: 3,4,5 and 6 )

We know that the probability of an event is defined as the ratio of number of favorable outcomes to the total number of outcomes.

i.e.

Probability of rolling a six sided cube is:

                     The answer is:

                           2/3