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? spinner 1 spinner 2 spinner 3 spinner 4

Explanation:

Step1: Calculate probabilities for Spinner 1

Spinner 1 has 4 equal - sized sections. $P(A)=\frac{1}{4}$, $P(B)=\frac{2}{4}=\frac{1}{2}$, $P(C)=\frac{1}{4}$. This does not match the given probabilities.

Step2: Calculate probabilities for Spinner 2

Spinner 2 has 8 equal - sized sections. There are 4 'A's, 2 'B's and 2 'C's. $P(A)=\frac{4}{8}=\frac{1}{2}$, $P(B)=\frac{2}{8}=\frac{1}{4}$, $P(C)=\frac{2}{8}=\frac{1}{4}$. This matches the given probabilities.

Step3: Calculate probabilities for Spinner 3

Spinner 3 has 4 equal - sized sections. $P(A)=\frac{1}{4}$, $P(B)=\frac{1}{4}$, $P(C)=\frac{2}{4}=\frac{1}{2}$. This does not match the given probabilities.

Step4: Calculate probabilities for Spinner 4

Spinner 4 has 8 equal - sized sections. $P(A)=\frac{2}{8}=\frac{1}{4}$, $P(B)=\frac{4}{8}=\frac{1}{2}$, $P(C)=\frac{2}{8}=\frac{1}{4}$. This does not match the given probabilities.

Answer:

Spinner 2