Question

spinner has 16 ​equal-sized sections. Four of the sections are red.
a. What is the probability that the spinner will land on red​?
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 find the probability that the spinner will land on red, we can use the formula for probability:

\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}
\]

In this case:

- **Number of favorable outcomes** (the sections that are red) = 4
- **Total number of possible outcomes** (the total sections of the spinner) = 16

a. Therefore, the probability that the spinner will land on red is given by:

\[
\text{Probability} = \frac{4}{16} = \frac{1}{4}
\]

So, you can express the probability as:

- \( \frac{4}{16} \) (which simplifies to \( \frac{1}{4} \)),
- or as \( 25\% \) (since \( \frac{1}{4} = 0.25 \), and multiplying by 100 gives \( 25\% \)).

b. In words, the probability that the spinner will land on red is "one out of four" or "25%". This means that if you were to spin the spinner many times, you would expect it to land on red about 25% of the time.