Question

A contestant on a game show has a 1 in 6 chance of winning for each try at a certain game. Which probability models can be used to simulate the contestant’s chances of winning?

Select ALL of the models that can be used to simulate this event.

A) a fair six-sided number cube
B) a fair coin
C) a spinner with 7 equal sections
D) a spinner with 6 equal sections
E) a bag of 12 black chips and 60 red chips

Answer 1

A) a fair six-sided number cube

D) a spinner with 6 equal sections

E) a bag of 12 black chips and 60 red chips

Explanation:

Chance, in this case, is usually written as;

`\displaystyle \frac{\text{wanted outcome}}{\text{possible outcomes}}`

We will review the answer options to decide which will simulate this event.

A) a fair six-sided number cube

➜ This is a correct answer option. There are 6 equal sides allowing for a 1/6 chance.

B) a fair coin

➜ This only gives two possible outcomes, but we are looking for six.

C) a spinner with 7 equal sections

➜ This is an incorrect answer option. It gives a 1/7 chance, not a 1/6.

D) a spinner with 6 equal sections

➜ This is a correct answer option. There are 6 equal sections allowing for a 1/6 chance.

E) a bag of 12 black chips and 60 red chips

➜ If the goal is to pick a black chip, this is a correct answer option. Wanted outcome divide by possible outcomes leads to
`(12)/(12 + 60)` = 1/6, giving a 1 in 6 chance. I am going to assume that is what this question option is providing. In that case, this is also a correct choice.