Question

1. what is the total number of possible outcomes when rolling two six - sided dice?

a. 24
b. 12
c. 48
d. 36

Explanation:

Step1: Analyze the number of outcomes for one die

A six - sided die has 6 possible outcomes (1, 2, 3, 4, 5, 6).

Step2: Use the multiplication principle

When rolling two independent events (rolling the first die and rolling the second die), the total number of outcomes is the product of the number of outcomes of each event. So, if the first die has \(n_1 = 6\) outcomes and the second die has \(n_2=6\) outcomes, the total number of outcomes \(N=n_1\times n_2\).

$$N = 6\times6=36$$

Answer:

D. 36