Final answer:
The experimental probability approaches the theoretical probability as the number of trials increases, and according to the law of large numbers, D) 500 trials will most likely result in an experimental probability that closely matches the theoretical probability.
Step-by-step explanation:
An experimental probability may not match its theoretical probability. To determine which number of trials will most likely give an experimental probability that will closely match the theoretical probability of an event, we must consider the law of large numbers. This law states that as the number of trials in a probability experiment increases, the experimental probability (relative frequency) approaches the theoretical probability.
Given the options:
- A) 10 trials
- B) 50 trials
- C) 100 trials
- D) 500 trials
The law of large numbers suggests that the larger the number of trials, the closer the experimental probability will be to the theoretical probability. Therefore, among the given options, D) 500 trials will most likely yield an experimental probability that best approximates the theoretical probability.