Use the above spinner to find the probability value Pr(5  or  8)Pr(5  or  8). Give the probability as a fraction.

To find the probability $P(5 \text{ or } 8)$ using a spinner, we need to follow these steps:

1. ### Break Down the Problem

1. Identify the total number of outcomes on the spinner.
2. Count the number of favorable outcomes that would give us either a 5 or an 8.

2. ### Relevant Concepts

• The probability of an event is calculated using the formula: $P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$

3. ### Analysis and Detail

1. Suppose the spinner is divided into $n$ equal sections, and each section corresponds to a unique number.
2. Let's denote the total number of sections on the spinner as $n$.
3. Let’s assume that the spinner includes the numbers 1 through $n$.
4. The favorable outcomes for the event $5 \text{ or } 8$ are $5$ and $8$.

Assuming that both 5 and 8 are distinct sections on the spinner and are included within the range of sections:

• Number of favorable outcomes = 2 (one for 5 and one for 8)
• Total outcomes = $n$

Thus, the probability can be expressed as: $P(5 \text{ or } 8) = \frac{2}{n}$

4. ### Verify and Summarize

• The result $\frac{2}{n}$ must be verified based on the total number of sections $n$ on the spinner.
• If the spinner, for instance, has 10 sections, then: $P(5 \text{ or } 8) = \frac{2}{10} = \frac{1}{5}$

Final Answer

The probability $P(5 \text{ or } 8) = \frac{2}{n}$. The specific fraction will depend on the total number of sections $n$ on the spinner.