Final answer:
The theoretical probability of rolling a 4 on a fair cube is 0.1667.
Step-by-step explanation:
To compute the theoretical probability of rolling a 4 on a fair cube, we need to determine the number of favorable outcomes and the total number of possible outcomes. In this case, the cube has 6 faces, and each face has an equal chance of landing face up. So the total number of possible outcomes is 6.
Out of the 6 possible outcomes, there is only 1 favorable outcome which is rolling a 4. Therefore, the number of favorable outcomes is 1.
The theoretical probability of rolling a 4 can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes:
P(rolling a 4) = Favorable outcomes / Total outcomes = 1 / 6 = 0.1667 (rounded to four decimal places).