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Question
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}
Step1: Understand sample - space concept
The sample - space is the set of all possible outcomes. When the spinner is spun once, there are 3 possible outcomes (A, B, or C). When it is spun twice, for each outcome of the first spin, there are 3 possible outcomes of the second spin.
Step2: List all possible pairs
If the first spin results in A, the second spin can be A, B, or C (giving AA, AB, AC). If the first spin results in B, the second spin can be A, B, or C (giving BA, BB, BC). If the first spin results in C, the second spin can be A, B, or C (giving CA, CB, CC).
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{AA, AB, AC, BA, BB, BC, CA, CB, CC}