What method of assigning probabilities to a simple event uses relative​ frequencies?

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Part 1

Choose the correct answer below.

Empirical

Subjective

Classical




The method of assigning probabilities to a simple event using relative frequencies is called the **empirical** method.

### Explanation:
- **Empirical**: This method involves assigning probabilities based on the relative frequency of an event occurring from actual data or experiments. The probability is determined by observing the frequency of the event in past trials or observations.
  
- **Subjective**: This method assigns probabilities based on personal judgment, intuition, or expertise, rather than on data or mathematical models.
  
- **Classical**: This method assigns probabilities based on the assumption that all outcomes are equally likely. It is typically used in situations with a known set of equally likely outcomes, like rolling a fair die.

So, the correct answer is **Empirical**.

Would you like more details or have any other questions?

Here are 5 related questions:
1. Can you provide an example of an empirical probability scenario?
2. How does empirical probability differ from classical probability in practical applications?
3. What are the limitations of using empirical probability?
4. How can relative frequencies be used to predict future outcomes?
5. How would subjective probabilities be applied in a real-life situation?

**Tip:** Empirical probabilities become more accurate as the number of trials or observations increases, reflecting the true likelihood of an event.

Explore how empirical probability assigns probabilities to simple events based on relative frequencies from data or experiments. Learn the differences between empirical, subjective, and classical methods of assigning probabilities. Suitable for students in Grades 9-12.

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