Question

james conducted an experiment with 4 possible outcomes. he determined that the experimental probability of event a happening is 10 out of 50. the theoretical probability of event a happening is 1 out of 4. which action is most likely to cause the experimental probability and theoretical probabilities for each event in the experiment to become closer?
removing the last 10 trials from the experimental data
completing the experiment many more times and combining the results to the trials already done
including a fifth possible outcome
performing the experiment again, stopping immediately after each event occurs once

Explanation:

To make experimental and theoretical probabilities closer, we rely on the Law of Large Numbers, which states that as the number of trials increases, experimental probability approaches theoretical probability.

• Removing trials (first option) reduces data, worsening accuracy.
• Adding a fifth outcome (third option) changes the experiment, not helping convergence.
• Stopping early (fourth option) limits trials, not aiding convergence.
• Completing more trials (second option) increases sample size, so experimental probability gets closer to theoretical.

Answer:

B. completing the experiment many more times and combining the results to the trials already done