Question

a probability experiment consists of rolling a fair 18 - sided die, numbered 1 to 18. find the probability of the event below. rolling a number divisible by 5 the probability is
(type an integer or decimal rounded to three decimal places as needed.)

Explanation:

Step1: Determine the number for favorable outcomes

Numbers divisible by 5 between 1 and 18: 5, 10, 15. So, there are 3 favorable outcomes.

Step2: Determine the total number of outcomes

A fair 18 - sided die has 18 possible outcomes.

Step3: Calculate the probability

Probability formula: \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Substitute the values: \(P = \frac{3}{18}\). Simplify: \(P=\frac{1}{6}\approx0.167\).

Answer:

0.167