Question

a probability experiment consists of rolling a fair 10 - sided die, numbered 1 to 10. 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: Determine total outcomes

Total number of outcomes when rolling a 10 - sided die is \(n(S)=10\).

Step2: Determine favorable outcomes

Numbers greater than 7 on a 10 - sided die (1 - 10) are 8, 9, 10. So \(n(E)=3\).

Step3: Calculate probability

Using the probability formula \(P(E)=\frac{n(E)}{n(S)}\), we substitute \(n(E) = 3\) and \(n(S)=10\). So \(P(E)=\frac{3}{10}=0.3\)

Answer:

\(0.3\)