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 6? 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 6? write your answer as a fraction in simplest form.

Answer

Explanation:

Step1: Determine favorable outcomes

Numbers less than 6 are 1, 2, 3, 4, 5. So there are 5 favorable outcomes.

Step2: Determine total outcomes

A twelve - sided die has 12 possible outcomes.

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P = \frac{5}{12}$.

Answer:

$\frac{5}{12}$