Question

a six - sided die with sides labeled 1 through 6 will be rolled once. each number is equally likely to be rolled. what is the probability of rolling a number less than 5? write your answer as a fraction in simplest form.

Explanation:

Step1: Determine total outcomes

The die has 6 sides, so total outcomes $n = 6$.

Step2: Determine favorable outcomes

Numbers less than 5 are 1, 2, 3, 4. So favorable outcomes $m = 4$.

Step3: Calculate probability

Probability $P=\frac{m}{n}=\frac{4}{6}=\frac{2}{3}$.

Answer:

$\frac{2}{3}$