Hallie is trying to win the grand prize on a game show. Should she try her luck by spinning a wheel with 6 equal sections labeled from 1 to 6 and hope she gets a 5, or should she roll two number cubes and hope she gets the same number on both cubes? Explain

Answer 1

Hallie's chances of winning the grand prize are the same with either option.

On the wheel, there is only one section out of six that will win her the grand prize (assuming each section is labeled with a different number). This means she has a 1/6 chance of winning the grand prize by spinning the wheel.

When rolling two number cubes, there are 36 possible outcomes (6 numbers on the first cube multiplied by 6 numbers on the second cube). Out of these possible outcomes, there are 6 outcomes where the same number is rolled on both cubes (1-1, 2-2, 3-3, 4-4, 5-5, 6-6). This means she also has a 1/6 chance of winning the grand prize by rolling two number cubes.

Therefore, it doesn't matter which option Hallie chooses as her chances of winning the grand prize are the same.

Answer 2

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Answer 3

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