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

Explanation:

Step1: Determine the number of favorable outcomes

The event is rolling a 2. There is only 1 favorable outcome (i.e., getting a 2).

Step2: Determine the total number of possible outcomes

The die is 8 - sided, numbered 1 to 8. So, there are 8 possible outcomes.

Step3: Calculate the probability

The probability formula is \(P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}\).
Substituting the values, we get \(P(\text{rolling a }2)=\frac{1}{8}\).
Calculating \(\frac{1}{8}= 0.125\)

Answer:

\(0.125\)