Answer:
1/24.
Explanation:
The experimental probability of rolling a six is the ratio of the number of times Emmet rolls a six to the total number of trials. In this case, Emmet rolls a six in 5 out of 24 trials. So the experimental probability of rolling a six is 5/24.
On the other hand, the theoretical probability of rolling a six is the ratio of the number of favorable outcomes to the total number of possible outcomes. Since a number cube has 6 faces and only 1 of those faces has a six, the theoretical probability of rolling a six is 1/6.
The difference between the experimental and theoretical probability can be calculated by finding the absolute value of the difference between the two probabilities. In this case, the absolute value of (5/24 - 1/6) is equal to (5/24 - 4/24) which is 1/24.
Therefore, the difference between Emmet's experimental probability of rolling a six and the theoretical probability of rolling a six is 1/24.