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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.
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.
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The probability of Hallie getting a 5 on the wheel is 1/6, since there is only one section labeled 5 out of six total sections.
The probability of Hallie rolling the same number on both number cubes is 1/6, since there is one combination of rolls (such as rolling a 2 and another 2) out of a total of six possible combinations (1-1, 1-2, 1-3, 1-4, 1-5, 1-6; 2-1, 2-2, 2-3, 2-4, 2-5, 2-6; etc.).
Therefore, the probability of winning the grand prize is the same for both options, so Hallie can choose whichever one she prefers.
The probability of Hallie rolling the same number on both number cubes is 1/6, since there is one combination of rolls (such as rolling a 2 and another 2) out of a total of six possible combinations (1-1, 1-2, 1-3, 1-4, 1-5, 1-6; 2-1, 2-2, 2-3, 2-4, 2-5, 2-6; etc.).
Therefore, the probability of winning the grand prize is the same for both options, so Hallie can choose whichever one she prefers.
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