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 3? 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 3? write your answer as a fraction in simplest form.

Answer

Explanation:

Step1: Determine favorable outcomes

Numbers less than 3 are 1 and 2, so 2 favorable outcomes.

Step2: Determine total outcomes

A twelve - sided die has 12 total outcomes.

Step3: Calculate probability

Probability = $\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}=\frac{2}{12}$

Step4: Simplify fraction

$\frac{2\div2}{12\div2}=\frac{1}{6}$

Answer:

$\frac{1}{6}$