Question

maya wants to perform an experiment with a spinner labeled a, b, and c. the theoretical probabilities for each section are: p(a) = 1/2, p(b) = 1/4, and p(c) = 1/4. which spinner could she use?

Explanation:

Step1: Calculate probability for each spinner

For a spinner divided into \(n\) equal - sized sections, the probability of landing on a particular section is \(P=\frac{\text{Number of favorable sections}}{\text{Total number of sections}}\).

• Top - left spinner: Total sections \(n = 4\). \(P(A)=\frac{1}{4}\), \(P(B)=\frac{1}{4}\), \(P(C)=\frac{2}{4}=\frac{1}{2}\).
• Top - right spinner: Total sections \(n = 4\). \(P(A)=\frac{1}{4}\), \(P(B)=\frac{2}{4}=\frac{1}{2}\), \(P(C)=\frac{1}{4}\).
• Middle spinner: Total sections \(n = 8\). \(P(A)=\frac{4}{8}=\frac{1}{2}\), \(P(B)=\frac{2}{8}=\frac{1}{4}\), \(P(C)=\frac{2}{8}=\frac{1}{4}\).
• Bottom spinner: Total sections \(n = 8\). \(P(A)=\frac{2}{8}=\frac{1}{4}\), \(P(B)=\frac{3}{8}\), \(P(C)=\frac{3}{8}\).

Answer:

The middle spinner.