Question

The spinner below shows

5 equally sized slices. Yolanda spun the dial
20 times and got the following results. (a) Assuming that the spinner is fair, compute the theoretical probability of landing on grey. (b) From Yolanda's results, compute the experimental probability of landing on grey. (c) Assuming that the spinner is fair, choose the statement below that is true:

As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.

As the number of spins increases, we expect the experimental and theoretical probabilities to become farther apart.

The experimental and theoretical probabilities must always be equal.

Answer 1

From Yolanda's result, compute the experimental porbability of landing on grey

Explanation:

Answer 2

A) there are 5 slices and 2 of them are grey.

The theoretical probability to land on grey would be the number of grey slices over the total number of slices: 2/5

B) the experimental probability would be the number of times the spinner landed in grey over the number of times the spinner was spun. From the table the spinner landed on grey 11 times and was spun 20 times. The experimental probability is 11/20

C) not all the answer choices are shown.

But the experimental and theoretical probabilities would most likely be different.