Question

Question
A spinner has several colored sections of equal size. There are 3 purple sections, 2 yellow, 2 red, and 1 blue. Find the theoretical probability of landing on purple. Express your answer as a fraction in simplified form.(1 point)
P(purple)=

Answer 1

To find the theoretical probability of landing on purple, we need to determine the total number of sections on the spinner and the number of sections that are purple.

1. Count the number of sections:
- Purple sections: 3
- Yellow sections: 2
- Red sections: 2
- Blue sections: 1

Total sections = \(3 + 2 + 2 + 1 = 8\)

2. Now, we calculate the probability of landing on purple:
\[
P(\text{purple}) = \frac{\text{Number of purple sections}}{\text{Total number of sections}} = \frac{3}{8}
\]

Thus, the theoretical probability of landing on purple is:
\[
\boxed{\frac{3}{8}}
\]