A spinner is divided into 8 equal sections, and each section contains a number from 1 to 8. What is the probability of the spinner landing on 5?

A. [tex]\frac{1}{13}[/tex]
B. [tex]\frac{1}{8}[/tex]
C. [tex]\frac{5}{13}[/tex]
D. [tex]\frac{5}{8}[/tex]



Answer :

Sure, let's solve this problem step by step.

1. Understanding the problem:
- We have a spinner that is divided into 8 equal sections.
- Each section contains a number from 1 to 8.
- We need to find the probability of the spinner landing on the number 5.

2. Identifying key information:
- Total number of sections: 8
- The specific section we are interested in (number 5): 1 section

3. Calculating the probability:
- Probability is defined as the ratio of the event of interest to the total number of possible events.
- In this case, the event of interest is landing on the number 5, and there is 1 such section.
- Total possible outcomes (total sections on the spinner) is 8.

4. Formulating the probability:
- Probability of landing on the number 5 = (Number of sections with 5) / (Total number of sections)
- Probability of landing on the number 5 = 1 / 8

5. Selecting the correct answer:
- The fraction [tex]\(\frac{1}{8}\)[/tex] represents the probability we calculated.

Thus, the probability of the spinner landing on the number 5 is [tex]\(\frac{1}{8}\)[/tex].

So, the correct option is:
[tex]\[\boxed{\frac{1}{8}}\][/tex]