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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.
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.