Question

b. calculate the probability of rolling a number greater than 4.

Explanation:

Step1: Define total outcomes

A standard die has 6 possible outcomes: $\{1,2,3,4,5,6\}$, so total outcomes $n(T) = 6$.

Step2: Define favorable outcomes

Numbers greater than 4 are $\{5,6\}$, so favorable outcomes $n(F) = 2$.

Step3: Calculate probability

Probability is $\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}$
$\text{Probability} = \frac{n(F)}{n(T)} = \frac{2}{6} = \frac{1}{3}$

Answer:

$\frac{1}{3}$