Question

Use a tree diagram or a table to determine the sample space for an experiment in which an eight-sided cube is rolled twice. How many different possible outcomes are there?

Answer 1

[AI-generated answer — Bot GPT 3.5]

Tree diagram:

1st roll: {1, 2, 3, 4, 5, 6, 7, 8}
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2nd roll: {1,2,3,4,5,6,7,8} {1,2,3,4,5,6,7,8} {1,2,3,4,5,6,7,8} {1,2,3,4,5,6,7,8} {1,2,3,4,5,6,7,8} {1,2,3,4,5,6,7,8} {1,2,3,4,5,6,7,8} {1,2,3,4,5,6,7,8}

Since each roll can result in any of the numbers on the cube, there are 8 possible outcomes for each roll. Therefore, there are 8 * 8 = 64 different possible outcomes when an eight-sided cube is rolled twice.