a spinner is divided into three equal parts labeled a, b, and c. aisha spins the spinner twice. which list…

a spinner is divided into three equal parts labeled a, b, and c. aisha spins the spinner twice. which list represents the sample space? {a, b, c} {aa, ab, ac} {aa, ab, ac, ba, bb, bc, ca, cb, cc} {aa, bb, cc}
Answer
Explanation:
Step1: Understand sample - space concept
The sample space is the set of all possible outcomes. When spinning the spinner twice, for the first spin, there are 3 possible outcomes (A, B, or C). For each of these 3 outcomes of the first spin, the second spin also has 3 possible outcomes.
Step2: List all possible pairs
If the first spin is A, the second - spin can be A, B, or C (giving AA, AB, AC). If the first spin is B, the second - spin can be A, B, or C (giving BA, BB, BC). If the first spin is C, the second - spin can be A, B, or C (giving CA, CB, CC).
Answer:
{AA, AB, AC, BA, BB, BC, CA, CB, CC}