Question

a probability experiment consists of rolling a fair 16-sided die, numbered 1 to 16. find the probability of the event below.

rolling a 3

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

Explanation:

Identify the sample space

Using the Sample Space Outcomes knowledge point

$$ S = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16\} $$

$$ n(S) = 16 $$

Identify the event of interest

Using the Simple Event knowledge point

$$ E = \{3\} $$

$$ n(E) = 1 $$

Calculate the probability

Using the Simple Event knowledge point

$$ P(E) = \frac{n(E)}{n(S)} = \frac{1}{16} = 0.0625 $$

Round to three decimal places

Using the Simple Event knowledge point

$$ P(E) \approx 0.063 $$

Answer:

A probability experiment consists of rolling a fair 16-sided die, numbered 1 to 16. Find the probability of the event below.

rolling a 3

The probability is <blank>0.063</blank>.
(Type an integer or decimal rounded to three decimal places as needed.)