Question

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

a. which outcome or outcomes make up the event of rolling a number greater than 4?
b. calculate the probability of rolling a number greater than 4.

Explanation:

Step1: Identify favorable outcomes

For a standard 6-sided die, numbers greater than 4 are 5 and 6.

Step2: Define total possible outcomes

A die has 6 total outcomes: 1, 2, 3, 4, 5, 6.

Step3: Apply probability formula

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$ = $\frac{2}{6}$ = $\frac{1}{3}$

Answer:

a. Rolling a 5 or rolling a 6
b. $\frac{1}{3}$