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 should roll two number cubes and hope she gets the same number on both cubes. This is because there are only 6 possible outcomes when spinning the wheel, with only 1 of them resulting in a win (getting a 5). This gives her a 1 in 6 chance, or about a 16.7% chance of winning. However, when rolling two number cubes, there are 36 possible outcomes (6 possible outcomes for each roll), with 6 of them resulting in a win (getting the same number on both cubes: 1-1, 2-2, 3-3, 4-4, 5-5, or 6-6). This gives her a 6 in 36 chance, or about a 16.7% chance of winning (which is the same as spinning the wheel), but with more chances to win overall. Therefore, rolling two number cubes gives Hallie a slightly better chance of winning than spinning the wheel.
