When would you expect the experimental probability of an event to be closest to its theoretical probability?
a. when the results of 10 trials were used in calculating the theoretical probability
b. when the results of 10 trials were used in calculating the experimental probability c. when the results of 100 trials were used in calculating the experimental probability
d. none of the above, because the experimental probability is unrelated to the theoretical probability.

c. When the results of 100 trials were used in calculating the experimental probability

Step-by-step explanation:

The question is when we can expect the experimental probability of an event to be closest to its theoretical probaility.

Central limit theorem says as sample sizes become high and a continuous series of samples are taken the sample mean will have expectation equal to population mean.

Hence the important aspect is the number of trials should be as large as possible

Option a and b says only 10 trials and hence cannot be used.

Option d is wrong because experimental probability serves as a good measure to infer the theoretical probability.

So option C is right with sample size as large as 100

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it has the same slope and a different y-intercept

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