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?
\\(\frac{1}{13}\\)
\\(\frac{1}{8}\\)
\\(\frac{3}{13}\\)
\\(\frac{3}{8}\\)

Explanation:

Step1: Identify total outcomes

The spinner has 8 equal - sections, so the total number of possible outcomes is $n = 8$.

Step2: Identify favorable outcomes

The numbers greater than 5 on the spinner are 6, 7, 8. So the number of favorable outcomes is $m=3$.

Step3: Calculate probability

The probability formula is $P=\frac{m}{n}$. Substituting $m = 3$ and $n = 8$, we get $P=\frac{3}{8}$.

Answer:

$\frac{3}{8}$