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

Explanation:

Step1: Determine total outcomes

A standard number - cube has 6 faces numbered 1 - 6, so the total number of possible outcomes when rolling the cube is $n = 6$.

Step2: Determine favorable outcomes

The numbers other than 2 on a number - cube are 1, 3, 4, 5, 6. So the number of favorable outcomes $m=5$.

Step3: Calculate probability

The formula for theoretical probability is $P=\frac{m}{n}$. Substituting $m = 5$ and $n = 6$, we get $P=\frac{5}{6}$.

Answer:

$\frac{5}{6}$