To determine the probability of the spinner landing on a number that is greater than 5, we can follow these steps:
1. Identify the total number of sections: There are 8 equal sections on the spinner, each containing a number from 1 to 8.
2. Identify the favorable outcomes: The numbers greater than 5 in this range are 6, 7, and 8. Therefore, there are 3 numbers that meet this criterion.
3. Calculate the probability: The probability of an event is given by the ratio of the number of favorable outcomes to the total number of possible outcomes.
So, here we have:
- Number of favorable outcomes = 3
- Total number of sections (possible outcomes) = 8
The probability [tex]\( P \)[/tex] is calculated as:
[tex]\[ P(\text{number} > 5) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{3}{8} \][/tex]
Therefore, the probability of the spinner landing on a number greater than 5 is [tex]\(\frac{3}{8}\)[/tex].
So, the correct answer is:
[tex]\(\boxed{\frac{3}{8}}\)[/tex]
