Final answer:
The experimental probability of not getting a green ball from the box is 27/40, which does not exactly match any of the options provided: 1/3, 2/3, 3/4, 4/5.
Step-by-step explanation:
The question asks us to calculate the experimental probability of not getting a green ball from a box containing 15 red balls, 12 blue balls, and 13 green balls. To compute the probability of not getting a green ball, we need to consider the total number of non-green balls in the box and divide that by the total number of balls in the box.
The total number of red and blue balls (non-green) is 15 + 12 = 27. The total number of balls in the box is 15 + 12 + 13 = 40. So, the experimental probability of not getting a green ball is 27/40. Simplifying this fraction gives us an experimental probability of 27/40, which needs to be compared to the choices provided to find the correct answer.
However, none of the options given (1/3, 2/3, 3/4, 4/5) exactly match 27/40. The closest option to the correct answer is 2/3 or 3/4 based on the approximation, but since no exact match is present, the given options do not accurately represent the experimental probability.