Suppose you roll a dice cube 30 times

Write a fraction to describe the theoretical probability

5/30

4/30
12/30
18/30

"Theoretical probability" of what? More data needed.

To find the theoretical probability of an event, we need to determine the ratio of the number of favorable outcomes to the total number of possible outcomes.

In this case, when rolling a dice cube, the favorable outcome is rolling any specific number (1, 2, 3, 4, 5, or 6), and the total number of possible outcomes is the sum of all the individual numbers on the dice (6).

Since we are rolling the dice cube 30 times, the total number of possible outcomes for each roll is still 6.

Therefore, the fraction to describe the theoretical probability is:

Favorable Outcomes / Total Outcomes
= 30 / (30 * 6)
= 30 / 180
= 1 / 6

So, the theoretical probability of rolling any specific number on a dice cube is 1/6.