Suppose a special 17-sided die is rolled once where each face is marked with a number 1 through 17. What is the probability that the die lands on a 12 or a 5?

To determine the probability that the die lands on either 12 or 5, we first need to consider the following:

- The die has 17 sides, so there are 17 possible outcomes.
- There are 2 favorable outcomes: landing on 12 or landing on 5.

### Probability formula:
The probability \( P \) of an event is given by the formula:

\[
P(\text{Event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}
\]

In this case:
- Number of favorable outcomes = 2 (either 12 or 5).
- Total number of possible outcomes = 17.

Thus, the probability \( P \) is:

\[
P(\text{12 or 5}) = \frac{2}{17}
\]

So, the probability that the die lands on a 12 or a 5 is \( \frac{2}{17} \).

Would you like further details on probability or any clarifications?

Here are 5 related questions to explore:

1. What is the probability of rolling an even number on the 17-sided die?
2. How would the probability change if the die had 20 sides instead of 17?
3. What is the probability of rolling a number less than 8 on this 17-sided die?
4. If you roll the die twice, what is the probability of getting a 12 on both rolls?
5. What is the probability of rolling a number divisible by 3?

**Tip**: In probability, when events are mutually exclusive (like rolling a 12 or a 5), you can simply add their individual probabilities to get the total probability.

Discover how to calculate the probability of rolling a 12 or a 5 on a special 17-sided die. This problem demonstrates key probability concepts and the basic counting principles used to determine outcomes. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation