Question

what is the total number of possible outcomes when rolling two six - sided dice?
a. 12
b. 48
c. 36
d. 24

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 dice, the total number of outcomes is the product of the number of outcomes for each die. So, if die 1 has 6 outcomes and die 2 has 6 outcomes, the total number of outcomes is $6\times6$.
$$6\times6 = 36$$

Answer:

C. 36