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 4? 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 4? write your answer as a fraction in simplest form.

Answer

Explanation:

Step1: Determine favorable outcomes

Numbers less than 4 are 1, 2, 3. So there are 3 favorable outcomes.

Step2: Determine total outcomes

A twelve - sided die has 12 possible outcomes.

Step3: Calculate probability

Probability $P=\frac{\text{Favorable outcomes}}{\text{Total outcomes}}=\frac{3}{12}$.

Step4: Simplify fraction

$\frac{3}{12}=\frac{3\div3}{12\div3}=\frac{1}{4}$.

Answer:

$\frac{1}{4}$