Question

1. determine the probability of rolling a number greater than 4.

Explanation:

Step1: Identify total outcomes

A standard die has 6 faces, so total possible outcomes: $n(S) = 6$

Step2: Identify favorable outcomes

Numbers greater than 4 on a die are 5 and 6, so favorable outcomes: $n(E) = 2$

Step3: Calculate probability

Probability formula: $P(E) = \frac{n(E)}{n(S)}$
$P(E) = \frac{2}{6} = \frac{1}{3}$

Answer:

$\frac{1}{3}$