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 greater than 7? 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 greater than 7? write your answer as a fraction in simplest form.

Answer

Explanation:

Step1: Determine total outcomes

The die has 12 sides, so total outcomes $n = 12$.

Step2: Determine favorable outcomes

Numbers greater than 7 on a 1 - 12 die are 8, 9, 10, 11, 12. So favorable outcomes $m=5$.

Step3: Calculate probability

Probability $P=\frac{m}{n}=\frac{5}{12}$.

Answer:

$\frac{5}{12}$