Question

the spinner is divided into 10 equal sections. which event has theoretical probability of exactly $\frac{1}{5}$? select three options. spinning a number less than 3 spinning a 4 or 5 spinning an odd number

Explanation:

Step1: Recall probability formula

The probability of an event $P(E)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the total number of outcomes is 10 (since the spinner is divided into 10 equal - sections).

Step2: Analyze "spinning a number less than 3"

The numbers less than 3 are 1 and 2. So the number of favorable outcomes is 2. Then $P=\frac{2}{10}=\frac{1}{5}$.

Step3: Analyze "spinning a 4 or 5"

The favorable outcomes are 4 and 5. The number of favorable outcomes is 2. Then $P = \frac{2}{10}=\frac{1}{5}$.

Step4: Analyze "spinning an odd number"

The odd numbers on the spinner are 1, 3, 5, 7, 9. The number of favorable outcomes is 5. Then $P=\frac{5}{10}=\frac{1}{2}$.

Answer:

spinning a number less than 3, spinning a 4 or 5