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9. use the spinner below to find p(a prime number). express your answer…

Question

  1. use the spinner below to find p(a prime number). express your answer as a percent. hint: 1 is not a prime number, but 2 is.

Explanation:

Step1: Count total sections

The spinner has 12 sections.

Step2: Identify prime - numbered sections

The prime - numbered sections are 2, 2, 2, 3, 3, 5. There are 6 prime - numbered sections.

Step3: Calculate probability as a fraction

The probability $P$ (a prime number) is the number of favorable outcomes (prime - numbered sections) divided by the number of total outcomes (total sections). So $P=\frac{6}{12}$.

Step4: Convert fraction to percent

To convert $\frac{6}{12}$ to a percent, we first simplify $\frac{6}{12}=\frac{1}{2}$, and $\frac{1}{2}=0.5$. Then, to convert the decimal to a percent, we multiply by 100: $0.5\times100 = 50\%$.

Answer:

50%