14. Describe the difference between classical and empirical probability. Choose the correct answer below. A. The classical method obtains an exact probability of an event by conducting a probability experiment. The empirical method of computing empirical probabilities does not require that a probability experiment actually be performed. Rather, it relies on counting techniques, and requires equally likely outcomes. B. The classical method obtains an approximate empirical probability of an event by conducting a probability experiment. The empirical method of computing probabilities does not require that a probability experiment actually be performed. Rather, it relies on counting techniques, and requires equally likely outcomes. C. The empirical method obtains an exact empirical probability of an event by conducting a probability experiment. The classical method of computing probabilities does not require that a probability experiment actually be performed. Rather, it relies on counting techniques, and requires equally likely outcomes. D. The empirical method obtains an approximate empirical probability of an event by conducting a probability experiment. The classical method of computing probabilities does not require that a probability experiment actually be performed. Rather, it relies on counting techniques, and requires equally likely outcomes.

Question

UpStudy AI · Accepted Answer

**Step 1: Understand the Definitions**  
- **Classical probability:** Relies on theoretical arguments where the outcomes are equally likely and probabilities are determined by counting techniques. No experiment needs to be performed.  
- **Empirical probability:** Relies on actually conducting experiments or observations. It is determined by the relative frequency of the event occurring, and thus provides an approximate probability.

**Step 2: Analyze the Options**

- **Option A:**  
  - Incorrect because it states that the classical method involves conducting a probability experiment, while in reality, it uses counting techniques without an experiment.

- **Option B:**  
  - Incorrect because it describes the classical method as obtaining an approximate probability by conducting an experiment, which is not how classical probability is determined.

- **Option C:**  
  - Incorrect because it describes the empirical method as obtaining an exact probability from an experiment, while empirical probability is generally approximate, and it incorrectly states that the classical method does not require an experiment (the latter part is correct, but the first part is not).

- **Option D:**  
  - Correct because it correctly identifies that:
    - The empirical method involves conducting an experiment and provides an approximate probability.
    - The classical method uses counting techniques, requires equally likely outcomes, and does not involve performing an experiment.

**Step 3: Confirm the Correct Answer**  
The correct answer is **Option D**.
The empirical method uses actual experiments to find approximate probabilities, while the classical method calculates probabilities based on counting equally likely outcomes without performing experiments.

Solución de inteligencia artificial de Upstudy

Responder

Solución

Bonus Knowledge

preguntas relacionadas

Latest Probability Questions