Question

Compare the empirical probabilities to the probability obtained using the classical method, and explain what they show. Choose the correct answer below.

1) The empirical probabilities are always higher than the probabilities obtained using the classical method, indicating that the classical method is not accurate.
2) The empirical probabilities are always lower than the probabilities obtained using the classical method, indicating that the classical method is not accurate.
3) The empirical probabilities are equal to the probabilities obtained using the classical method, indicating that the classical method is accurate.
4) The empirical probabilities can be higher or lower than the probabilities obtained using the classical method, depending on the specific scenario.

Answer 1

Empirical probabilities can be higher or lower than the probabilities obtained using the classical method, depending on the specific scenario.

Step-by-step explanation:

The question asks about comparing empirical probabilities to probabilities obtained using the classical method. Empirical probabilities are calculated based on observations, while theoretical probabilities are calculated based on assumptions and understanding of how events are produced. The correct answer is option 4) The empirical probabilities can be higher or lower than the probabilities obtained using the classical method, depending on the specific scenario. This is because empirical probabilities are based on real-world data and may vary from the theoretical probabilities.