Question

a probability experiment consists of rolling a fair 8 - sided die, numbered 1 to 8. find the probability of the event below. rolling a number greater than 2 the probability is □. (type an integer or decimal rounded to three decimal places as needed.)

Explanation:

Step1: Determine total number of outcomes

The die has 8 sides, so the total number of possible outcomes when rolling it is $n = 8$.

Step2: Determine number of favorable outcomes

The numbers greater than 2 on an 8 - sided die are 3, 4, 5, 6, 7, 8. So the number of favorable outcomes is $m=6$.

Step3: Calculate the probability

The probability $P$ of an event is given by the formula $P=\frac{m}{n}$. Substituting $m = 6$ and $n = 8$ into the formula, we get $P=\frac{6}{8}=\frac{3}{4}=0.750$.

Answer:

0.750