Question

A spinner with 4 equal sections is spun 20 times. The frequency of spinning each color is recorded in the table below.

Outcome Frequency
Pink 6
White 3
Blue 7
Orange 4

What statement best compares the theoretical and experimental probability of landing on blue?
The theoretical probability of landing on blue is one fourth, and the experimental probability is 35%.
The theoretical probability of landing on blue is one fourth, and the experimental probability is 50%.
The theoretical probability of landing on blue is one fifth, and the experimental probability is 35%.
The theoretical probability of landing on blue is one fifth, and the experimental probability is 50%.

Answer 1

Explanation:

The statement that best compares the theoretical and experimental probability of landing on blue is:

The theoretical probability of landing on blue is one fourth, and the experimental probability is 35%.

Theoretical probability is the probability of an event occurring based on the assumption that the spinner is fair, and the experimental probability is the probability of an event occurring based on the data collected from the spins.

Since the spinner has four equal sections, the theoretical probability of landing on any section is 1/4 or 25%. Therefore, the theoretical probability of landing on blue is 1/4 or 25%.

On the other hand, the experimental probability is the number of times an event occurs, divided by the total number of trials.

In this case, the experimental probability of landing on blue is 7/20 or 35%.

So the theoretical probability of landing on blue is one fourth or 25% and the experimental probability is 35%.