select the correct answer.\nrory was with some friends outside an ice - cream parlor. he noticed that one…

select the correct answer.\nrory was with some friends outside an ice - cream parlor. he noticed that one out of every four people bought a vanilla cone. he wants to know the estimated probability that five randomly picked people entering the shop will not buy vanilla cones. how could you design a simulation of the scenario?\na. spin a spinner with five equal sections five times. on the spinner, one section represents vanilla and four sections represent other flavors.\nb. spin a spinner with five equal sections four times. on the spinner, one section represents vanilla and four sections represent other flavors.\nc. spin a spinner with four equal sections five times. on the spinner, one section represents vanilla and three sections represent other flavors.\nd. spin a spinner with four equal sections four times. on the spinner, one section represents vanilla and three sections represent other flavors.
Answer
Answer:
C. Spin a spinner with four equal sections five times. On the spinner, one section represents vanilla and three sections represent other flavors.
Explanation:
Step1: Analyze probability given
The probability that a person buys a vanilla cone is $\frac{1}{4}$, so the probability that a person does not buy a vanilla cone is $1 - \frac{1}{4}=\frac{3}{4}$.
Step2: Match with spinner - simulation
We need to simulate 5 people's choices. A spinner with 4 equal - sections where 1 section is for vanilla and 3 for other flavors models the $\frac{1}{4}$ and $\frac{3}{4}$ probabilities correctly, and we spin it 5 times to simulate 5 people.