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 a number that is greater than 5?

A. [tex]$\frac{1}{13}$[/tex]
B. [tex]$\frac{1}{8}$[/tex]
C. [tex]$\frac{3}{13}$[/tex]
D. [tex]$\frac{3}{8}$[/tex]



Answer :

To determine the probability of the spinner landing on a number that is greater than 5, we need to first identify the sections that satisfy this condition.

The spinner is divided into 8 equal sections and each section contains a number from 1 to 8. The numbers greater than 5 are 6, 7, and 8.

Step 1: Count the favorable outcomes:
- Numbers greater than 5: 6, 7, 8
- There are a total of 3 favorable outcomes.

Step 2: Determine the total number of possible outcomes:
- The spinner has 8 equal sections, so there are 8 possible outcomes.

Step 3: Calculate the probability:
- Probability is defined as the number of favorable outcomes divided by the total number of possible outcomes.
- Therefore, the probability of landing on a number greater than 5 is [tex]\( \frac{3}{8} \)[/tex].

Hence, the correct probability is [tex]\( \frac{3}{8} \)[/tex].