Question

a probability experiment consists of rolling a fair 12 - sided die, numbered 1 to 12. 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 total outcomes

The die has 12 sides, so the total number of possible outcomes is 12.

Step2: Determine favorable outcomes

Numbers divisible by 5 between 1 and 12 are 5 and 10. So there are 2 favorable outcomes.

Step3: Calculate probability

The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P = \frac{2}{12}=\frac{1}{6}\approx 0.167$.

Answer:

0.167