if you roll a standard number cube, what is the theoretical probability of rolling a number greater than 2…

Explanation:

Step1: Determine total outcomes

A standard number - cube has 6 faces numbered 1, 2, 3, 4, 5, 6. So the total number of possible outcomes when rolling the cube is $n = 6$.

Step2: Determine favorable outcomes

The numbers greater than 2 on a standard number - cube are 3, 4, 5, 6. So the number of favorable outcomes is $m=4$.

Step3: Calculate probability

The formula for theoretical probability is $P=\frac{m}{n}$. Substituting $m = 4$ and $n = 6$ into the formula, we get $P=\frac{4}{6}=\frac{2}{3}$.

Answer:

$\frac{2}{3}$