Question

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.

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

The probability formula is $P=\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}$. So $P = \frac{3}{12}=\frac{1}{4}$.

Answer:

$\frac{1}{4}$