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 outcomes

A fair 8 - sided die has 8 possible outcomes, so $n(S)=8$.

Step2: Determine favorable outcomes

Numbers greater than 2 on an 8 - sided die are 3, 4, 5, 6, 7, 8. So $n(A)=6$.

Step3: Calculate probability

The probability formula is $P(A)=\frac{n(A)}{n(S)}$. Substituting the values, we get $P(A)=\frac{6}{8}=\frac{3}{4}= 0.750$.

Answer:

0.750