The spinner below shows 5 equally sliced slices. Christine spun the dial 40 times and got the following results.

Outcome White Grey Black
Number of spins 12 16 12

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 black.

(b) From Christine’s results, compute the experimental probability of landing on black.

(c) Assuming that the spinner is fair, choose the statement below that is true:
A. As the number of spins increases, we expect the experiment and probabilities to become closer though they might not be equal.
B. The experimental and theoretical probabilities mist always be equal.
C. As the number of spins increases, we expect the experimental and theoretical probabilities to become farther apart.