Jason spun a spinner with 4-equal sized areas (green, yellow, blue and red) 25 times, with the results shown below. Is the experimental probability greater than, less than, or equal to the theoretical probability of landing on a green section?
Color Frequency
Green. 9
Yellow. 7
Blue. 5
Red 4
To determine the experimental probability of landing on the green section, we add up the total number of spins: 9 (green) + 7 (yellow) + 5 (blue) + 4 (red) = 25 spins total.
The experimental probability of landing on the green section is then 9/25, which simplifies to 0.36 or 36%.
The theoretical probability of landing on the green section would be 1/4 since there is 1 green section out of 4 equally sized sections on the spinner.
Comparing the experimental probability of 36% to the theoretical probability of 25%, we see that the experimental probability is greater than the theoretical probability of landing on a green section.