Question

At a local pet store, Shirley noticed that about four out of five customers who bought pets chose goldfish. Shirley wants to know the estimated probability that three randomly selected customers buying pets would not buy goldfish. How could Shirley design a simulation for this scenario?
A.)She could roll a six-sided die three times. On the die, numbers 1 to 3 represent customers who buy goldfish and 4 to 6 represent customers who don’t buy goldfish.

B.)She could spin a spinner divided into nine equal sections three times. On the spinner, four sections represent customers who buy goldfish and five sections represent customers who do not buy goldfish.

C.)She could spin a spinner divided into five equal sections three times. On the spinner, four sections represent customers who buy goldfish and one section represents customers who do not buy goldfish.

D.)She could use a random number generator to generate a set of three numbers from 0 to 9. The numbers 0 to 4 represent customers who buy goldfish, and 5 to 9 represent customers who do not buy goldfish.

E.)She could use a number generator to generate a set of five numbers from 0 to 3. The numbers 0 to 2 represent customers who buy goldfish, and 3 represents customers who do not buy goldfish.

Answer 1

The answer would be c because you have a 4/5 chance of someone choosing a goldfish and you are trying to find out the chance of 3 customers.

Answer 2

Answer with explanation:

It is given that, At a local store, four out of five customers who bought pets chose goldfish.

Probability of choosing goldfish by customers who will buy pets=$\frac{4}{5}$

Probability of not choosing goldfish by customers who will buy pets=$\frac{1}{5}$

⇒→Shirley wants to design Simulation,for estimated probability that three randomly selected customers buying pets would not buy goldfish.

So,this is Possible only when Total number of customers who will buy pets =4×3+1×3=15 or multiple of 15, then this simulation is Possible.

⇒If there are 15 customers, then three randomly selected customers buying pets would not buy goldfish,because 12 customers out of 15 who will buy pets will buy Goldfish, and 3 customers out of 15, who will buy pets will not buy goldfish.

→→→Out of five Options given, the event in which total possible outcome is 15 or multiple of 15 is equal to:

Option C:

 She could spin a spinner divided into five equal sections three times. On the spinner, four sections represent customers who buy goldfish and one section represents customers who do not buy goldfish.