just give me the answer for (a)

The spinner below shows equally sized slices. Ashley spun the dial times and got the following results.
Outcome Grey White Black
Number of Spins
Fill in the table below. Round your answers to the nearest thousandth.
(a) Assuming that the spinner is fair, compute the theoretical probability of landing on grey.

1 answer

To determine the theoretical probability of landing on grey, you need to know the total number of equally sized slices on the spinner and how many of those slices are grey.

Assuming the spinner being fair and it has 3 equally sized slices (grey, white, and black):

Theoretical Probability of landing on grey = (Number of Grey Slices) / (Total Number of Slices)

If there is 1 grey slice out of 3 total slices:

Theoretical Probability of landing on grey = 1/3 ≈ 0.333

Rounded to the nearest thousandth, the answer is 0.333.