maya wants to perform an experiment with a spinner labeled a, b, and c. the theoretical probabilities for…
maya wants to perform an experiment with a spinner labeled a, b, and c. the theoretical probabilities for each section are: p(a) = ½, p(b) = ¼, and p(c) = ¼. which spinner could she use?
Answer
Explanation:
Step1: Analyze probabilities for each option
For a spinner, probability of a section = number of that - type sections / total number of sections.
Step2: Check first spinner
Total sections = 4. $P(A)=\frac{1}{4}$, $P(B)=\frac{2}{4}=\frac{1}{2}$, $P(C)=\frac{1}{4}$, not correct.
Step3: Check second spinner
Total sections = 8. $P(A)=\frac{4}{8}=\frac{1}{2}$, $P(B)=\frac{2}{8}=\frac{1}{4}$, $P(C)=\frac{2}{8}=\frac{1}{4}$, correct.
Step4: Check third spinner
Total sections = 4. $P(A)=\frac{1}{4}$, $P(B)=\frac{1}{4}$, $P(C)=\frac{2}{4}=\frac{1}{2}$, not correct.
Step5: Check fourth spinner
Total sections = 8. $P(A)=\frac{3}{8}$, $P(B)=\frac{3}{8}$, $P(C)=\frac{2}{8}=\frac{1}{4}$, not correct.
Answer:
The second spinner.