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 7 the probability is □. (type an integer or decimal rounded to three decimal places as needed.)

Explanation:

Step1: Calculate total number of outcomes

A fair 8 - sided die has \(n(S)=8\) possible outcomes (\(1,2,\cdots,8\)).

Step2: Calculate number of favorable outcomes

Numbers greater than 7 on an 8 - sided die: only 8. So \(n(E) = 1\).

Step3: Use probability formula

The probability formula is \(P(E)=\frac{n(E)}{n(S)}\). Substitute \(n(E) = 1\) and \(n(S)=8\) into the formula: \(P(E)=\frac{1}{8}=0.125\).

Answer:

\(0.125\)