To compare the two options, we need to find the probability of winning with each method.
Method 1: Spinning the wheel
There is only one section with a 5 out of six total sections. Therefore, the probability of winning by spinning the wheel is 1/6.
Method 2: Rolling two number cubes
Each cube has six sides labeled with numbers 1-6. The probability of rolling any particular number on one cube is 1/6. We want to find the probability of rolling the same number on both cubes. We can do this by multiplying the probabilities of rolling the desired number on each cube.
Probability of rolling the same number on two cubes = (1/6) x (1/6) = 1/36
Comparing the probabilities, we see that the probability of winning with method 2 (rolling two number cubes) is much lower than the probability of winning with method 1 (spinning the wheel). Therefore, Hallie should try her luck by spinning the wheel with 6 equal sections labeled from 1 to 6 and hope she gets a 5.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
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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