Question 35 • Concepts in Probability and Statistics A
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?
Answer
A
removing the last 10 trials from the experimental data
B
completing the experiment many more times and combining the results to the trials already done
C
including a fifth possible outcome
D
performing the experiment again, stopping immediately after each event occurs once
Explanation
The experimental probability is 10/50 = 0.20, while the theoretical probability is 1/4 = 0.25. With many more trials, the experimental results are more likely to reflect the theoretical probabilities for all four outcomes. So completing the experiment many more times and combining those results with the trials already done is most likely to bring the probabilities closer.
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