Ask a New Question
Menu

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​%

1 answer

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.