The difference between the theoretical probability and the experimental probability of the person getting the number 3 on a roll is 0.375.
In the question, we are given that a person has a 0.125 probability of getting the number 3 on a roll of an eight-sided die.
This means that the theoretical probability of rolling a 3 on an eight-sided die is 0.125.
Also, we are informed that a person rolls the die 24 times, and gets a 3 on one-half of the rolls, that is, 1/2 * 24 = 12 rolls.
Thus, the experimental probability of rolling a 3 on an eight-sided die = 12/24 = 1/2 = 0.5.
In the question, we are asked to find the difference between the theoretical probability and the experimental probability of the person getting the number 3 on a roll.
The difference = The experimental probability - The theoretical probability,
or, the difference = 0.5 - 0.125 = 0.375.
Thus, the difference between the theoretical probability and the experimental probability of the person getting the number 3 on a roll is 0.375.
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