Question

a single fair eight - sided die is rolled. find the probability of getting a 8 or 4. what is the total number of possible outcomes? 8 getting a roll of 8 or 4 represents how many outcomes? 2 the probability of getting a roll of 8 or 4 is \boxed{}. (type an integer or a simplified fraction.)

Explanation:

Step1: Recall Probability Formula

The probability of an event is given by $P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$.

Step2: Identify Values

Total number of possible outcomes (when rolling an 8 - sided die) is 8. Number of favorable outcomes (rolling an 8 or 4) is 2.

Step3: Calculate Probability

Substitute the values into the formula: $P=\frac{2}{8}$. Simplify the fraction by dividing numerator and denominator by their greatest common divisor, which is 2. So $\frac{2\div2}{8\div2}=\frac{1}{4}$.

Answer:

$\frac{1}{4}$