Question

Theo is using this spinner to predict the favorite movie genre of randomly chosen students in his school. If Theo spins the spinner 60 times, how many times should he expect it to land on "Action"?

a) 10
b) 12
c) 15
d) 20

Answer 1

Option B.

Explanation:

In the question the number categories on the spinner are not given.

Consider there are 5 different categories on the spinner.

A = Spinner land on "Action".

So, probability of land on "Action" is

`P(A)=(1)/(5)`

Number of spins, n= 60 times

The expected number of land on "Action" is

`\text{Expected value}=n* P(A)`

`\text{Expected value}=60* (1)/(5)`

`\text{Expected value}=12`

Therefore, the correct option is B.

Answer 2

c) 15

Explanation:

If there are 6 genre on the spinner, that represents the total possible outcomes, and Action is only one of them, so its probability in one try is

`P_(action) =(1)/(4)`

Then, he tried 60 times, that means we have to multiply the simple probability to the total number of trials.

`E=60 * (1)/(4)= 15`

He should expect to land on Action 15 times out of 60.

Therefore, the right answer is c) 15.