Question

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?
StartFraction 1 over 13 EndFraction
StartFraction 1 over 8 EndFraction
StartFraction 3 over 13 EndFraction
StartFraction 3 over 8 EndFraction

Answer 1

To determine the probability of the spinner landing on a number greater than 5, we first identify the possible numbers on the spinner, which are 1, 2, 3, 4, 5, 6, 7, and 8.

The numbers that are greater than 5 are 6, 7, and 8. This gives us 3 successful outcomes where the spinner can land on a number greater than 5.

Since the spinner is divided into 8 equal sections, the total number of possible outcomes is 8.

The probability \( P \) of landing on a number greater than 5 is calculated using the formula:

\[
P = \frac{\text{Number of successful outcomes}}{\text{Total number of possible outcomes}} = \frac{3}{8}
\]

Thus, the probability of the spinner landing on a number that is greater than 5 is:

\[
\frac{3}{8}
\]

The correct answer is:

**StartFraction 3 over 8 EndFraction**