Ten otherwise identical cards are numbered from 1 to 7 and well shuffled. One is randomly drawn. Statistically, the scenario presented is 1) a sample space 2) an experiment

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
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Problem 2P: Family Planning A intend to have two children. What is tie probability that they will have child of...
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**Probability and Statistics: Understanding Basic Concepts**

**Scenario Description:**

Ten otherwise identical cards are numbered from 1 to 7 and well shuffled. One card is randomly drawn. Statistically, the scenario presented is ________.

**Multiple Choice Options:**
1. ( ) a sample space
2. ( ) an experiment
3. ( ) an outcome

---

**Explanation of Terms:**

- **Sample Space**:
  In probability theory, a sample space is the set of all possible outcomes of a random experiment. Here, the sample space would include all the possible cards that could be drawn, i.e., {1, 2, 3, 4, 5, 6, 7}.

- **Experiment**:
  An experiment in probability is a situation involving chance or probability that leads to results called outcomes. In this scenario, the experiment involves drawing one card randomly from the shuffled set.

- **Outcome**:
  An outcome is the result of a single trial of an experiment. In this case, the outcome would be the specific number on the card drawn, which might be any one of the numbers from 1 to 7.

Understanding these basic concepts is essential in the study of probability and statistics. Feel free to revisit the definitions and think about how they apply to other scenarios you encounter!
Transcribed Image Text:**Probability and Statistics: Understanding Basic Concepts** **Scenario Description:** Ten otherwise identical cards are numbered from 1 to 7 and well shuffled. One card is randomly drawn. Statistically, the scenario presented is ________. **Multiple Choice Options:** 1. ( ) a sample space 2. ( ) an experiment 3. ( ) an outcome --- **Explanation of Terms:** - **Sample Space**: In probability theory, a sample space is the set of all possible outcomes of a random experiment. Here, the sample space would include all the possible cards that could be drawn, i.e., {1, 2, 3, 4, 5, 6, 7}. - **Experiment**: An experiment in probability is a situation involving chance or probability that leads to results called outcomes. In this scenario, the experiment involves drawing one card randomly from the shuffled set. - **Outcome**: An outcome is the result of a single trial of an experiment. In this case, the outcome would be the specific number on the card drawn, which might be any one of the numbers from 1 to 7. Understanding these basic concepts is essential in the study of probability and statistics. Feel free to revisit the definitions and think about how they apply to other scenarios you encounter!
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