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%
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%
Answers
GPT-4o mini
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.
\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}
\]
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.