a twelve - sided die with sides labeled 1 through 12 will be rolled once. each number is equally likely to…

a twelve - sided die with sides labeled 1 through 12 will be rolled once. each number is equally likely to be rolled. what is the probability of rolling a number less than 9? write your answer as a fraction in simplest form.

a twelve - sided die with sides labeled 1 through 12 will be rolled once. each number is equally likely to be rolled. what is the probability of rolling a number less than 9? write your answer as a fraction in simplest form.

Answer

Answer:

$\frac{2}{3}$

Explanation:

Step1: Count favorable outcomes

Numbers less than 9 are 1 - 8, so 8 favorable outcomes.

Step2: Determine total outcomes

A 12 - sided die has 12 total outcomes.

Step3: Calculate probability

Probability = $\frac{\text{Favorable outcomes}}{\text{Total outcomes}}=\frac{8}{12}=\frac{2}{3}$