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A fair number cube is rolled. What are the odds in favor of rolling a 5?

Question

A fair number cube is rolled. What are the odds in favor of rolling a 5?

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Solution

A fair number cube, also known as a die, has six faces, each with a different number from 1 to 6.

Step 1: Identify the total number of outcomes. In this case, when you roll a die, there are 6 possible outcomes (1, 2, 3, 4, 5, or 6).

Step 2: Identify the number of favorable outcomes. The question asks for the odds of rolling a 5. There is only one face with a 5 on it, so there is only 1 favorable outcome.

Step 3: Calculate the odds in favor. The odds in favor of an event are calculated as the number of favorable outcomes to the number of unfavorable outcomes. In this case, the odds in favor of rolling a 5 are 1 to 5. This is because there is 1 favorable outcome (rolling a 5) and 5 unfavorable outcomes (rolling a 1, 2, 3, 4, or 6).

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