Question

A spinner has 16 ​equal-sized sections. Twelve of the sections are purple.
a. What is the probability that the spinner will land on purple​?
b. Use words to describe the probability.
Question content area bottom
Part 1
a.
  
enter your response here out of 16​, or StartFraction nothing Over 4 EndFraction
  
​, or
  
enter your response here​%

Answer 1

To determine the probability that the spinner will land on purple, we can use the formula for probability:

\[
P(\text{Purple}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}
\]

### Part a:
- Number of favorable outcomes (purple sections) = 12
- Total number of possible outcomes (total sections on the spinner) = 16

Now we can calculate the probability:

\[
P(\text{Purple}) = \frac{12}{16} = \frac{3}{4}
\]

In percentage form, the probability is calculated as:

\[
P(\text{Purple}) \times 100\% = \frac{12}{16} \times 100\% = 75\%
\]

So, the responses for Part a are:
- **Probability in fraction form:** \( \frac{3}{4} \)
- **Probability in percentage form:** \( 75\% \)

### Part b:
In words, you might say: "The probability of the spinner landing on purple is 75%. This means that if we were to spin the spinner many times, we would expect it to land on purple approximately 75 out of 100 spins."

You could also say: "Out of 16 equal sections on the spinner, 12 of them are purple, so there is a high chance that the spinner will land on a purple section."