Question

In which of the following cases would you expect the experimental probability to be closest to the theoretical probability?

1) When the sample size is small
2) When the sample size is large
3) When the sample size is equal to the population size
4) When the sample is selected randomly

Answer 1

The experimental probability is expected to be closest to the theoretical probability when the sample size is large.

Step-by-step explanation:

The experimental probability is expected to be closest to the theoretical probability when the sample size is large. This is because the law of large numbers states that as the number of trials in a probability experiment increases, the experimental probability approaches the theoretical probability. The larger the sample size, the more representative it is of the population, and therefore, the experimental probability will be closer to the theoretical probability.