A spiiner was spun 16 times. The results are shown in the table below.

yellow = 5
white = 4
red = 0
blue = 2
green = 2
orange = 3

whch colors' experimental probability matches its theoretical probability

a. yellow, green and orange
b. white, red and orange
c. yellow, blue and orange
d. white, blue and green

Assuming that they all have equal areas on the spinner, by chance the experimental probability for any color on one spin is 1/6. What is 1/6 of 16?

16/6 = 2 2/3

This leads me to believe it is blue, green and orange that are closest to their theoretical probability, but that is not one of the choices. Do you have any typos?

No

To determine which colors' experimental probability matches its theoretical probability, we need to first calculate the theoretical probability and then compare it to the experimental probability.

The theoretical probability of an event occurring is the number of favorable outcomes divided by the total number of possible outcomes.

Let's calculate the theoretical probability for each color:

- Yellow: The theoretical probability is given by the ratio of the number of yellow outcomes (5) to the total number of outcomes (16). Therefore, the theoretical probability of yellow is 5/16.

- White: The theoretical probability is given by the ratio of the number of white outcomes (4) to the total number of outcomes (16). Therefore, the theoretical probability of white is 4/16, which simplifies to 1/4.

- Red: The theoretical probability is given by the ratio of the number of red outcomes (0) to the total number of outcomes (16). Therefore, the theoretical probability of red is 0/16, which simplifies to 0.

- Blue: The theoretical probability is given by the ratio of the number of blue outcomes (2) to the total number of outcomes (16). Therefore, the theoretical probability of blue is 2/16, which simplifies to 1/8.

- Green: The theoretical probability is given by the ratio of the number of green outcomes (2) to the total number of outcomes (16). Therefore, the theoretical probability of green is 2/16, which simplifies to 1/8.

- Orange: The theoretical probability is given by the ratio of the number of orange outcomes (3) to the total number of outcomes (16). Therefore, the theoretical probability of orange is 3/16.

Now let's compare the theoretical probabilities with the experimental probabilities:

- Yellow: The experimental probability of yellow is 5/16, which matches its theoretical probability of 5/16.

- White: The experimental probability of white is 4/16, which matches its theoretical probability of 1/4.

- Red: The experimental probability of red is 0/16, which matches its theoretical probability of 0.

- Blue: The experimental probability of blue is 2/16, which matches its theoretical probability of 1/8.

- Green: The experimental probability of green is 2/16, which matches its theoretical probability of 1/8.

- Orange: The experimental probability of orange is 3/16, which matches its theoretical probability of 3/16.

Based on the comparison, the colors whose experimental probability matches its theoretical probability are: Yellow, Blue, and Orange. Therefore, the correct option is [c] yellow, blue, and orange.