Q6. - Algebra 1

Question

Malika spins a spinner that is divided into 8 equal sections. Each section is a different color, including blue. What is the probability the spinner lands on the blue section?

Step-by-Step Solution

Answer

The probability that spinner lands on blue section is $\frac{1}{8}$.

Step 1. Define the concept.

The probability of an event is the ratio of the number of favorable outcomes for the event to the total number of possible outcomes.

Step 2. Define the sample space.

Sample space is defined as all possible outcomes. Here, a spinner is divided into 8 equal sections with 8 different colors and any color can appear, therefore, 

$\text{Total outcomes }=\text{ 8}$

Step 3. Determine the probability.

To find the probability that spinner lands on blue section, divide the number of sections of spinner with blue color, which is 1, with total outcomes.

$$\begin{gathered} \text{probability}=\frac{\text{number of sides of blue color}}{\text{total outcomes}} \\ =\frac{1}{8} \end{gathered}$$ 

 

Therefore, probability that spinner lands on blue section is $\frac{1}{8}$.