Question

xavier spins this spinner two times. which list represents the sample space of this compound event? {(1, 0), (1, 1), (1, 2), (2, 0), (2, 1), (2, 2)} {(0, 1), (0, 2), (1, 0), (1, 2), (2, 0)} {(0, 0), (1, 1), (2, 2)} {(0, 0), (0, 1), (0, 2), (1, 0), (1, 1), (1, 2), (2, 0), (2, 1), (2, 2)}

Explanation:

Step1: Understand sample - space concept

The sample space of a compound event is the set of all possible outcomes. When spinning the spinner twice, for each spin, there are 3 possible outcomes (0, 1, 2).

Step2: List all combinations

For the first - spin outcome of 0, the second - spin can be 0, 1, or 2, giving (0, 0), (0, 1), (0, 2). For the first - spin outcome of 1, the second - spin can be 0, 1, or 2, giving (1, 0), (1, 1), (1, 2). For the first - spin outcome of 2, the second - spin can be 0, 1, or 2, giving (2, 0), (2, 1), (2, 2).

Answer:

{(0, 0), (0, 1), (0, 2), (1, 0), (1, 1), (1, 2), (2, 0), (2, 1), (2, 2)}