You roll a twelve-sided number cube with the numbers 1 through 12 on the faces of the number cube. You roll the number cube once. Find the theoretical probability P(factor of 12).
Question
You roll a twelve-sided number cube with the numbers 1 through 12 on the faces of the number cube. You roll the number cube once. Find the theoretical probability P(factor of 12).
Solution
The factors of 12 are 1, 2, 3, 4, 6, and 12. That's 6 out of 12 possible outcomes.
Step 1: Identify the total number of outcomes. In this case, there are 12 possible outcomes because the cube has 12 faces.
Step 2: Identify the number of successful outcomes. A successful outcome is one where the number rolled is a factor of 12. The factors of 12 are 1, 2, 3, 4, 6, and 12. So, there are 6 successful outcomes.
Step 3: Calculate the probability. The probability of an event is given by the ratio of the number of successful outcomes to the total number of outcomes.
So, the theoretical probability P(factor of 12) = Number of successful outcomes / Total number of outcomes = 6 / 12 = 0.5 or 50%.
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