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In this learning activity, discuss with the other members of your group your experiences with probability.

**Post **a 150-word response to one of the discussion prompts by Day 5 in the discussion area below:

**Prompt 1**

**View** the following video:

- Patrick Just Math Tutorials: Factorials - Evaluating Factorials! Basic Info

**Answer** the following questions:

- You are trying to make a 10-digit license plate using only numbers. Assuming no numbers can repeat, how would factorial notation help you calculate the total number of license plates that can be made? How would being able to repeat three numbers change the outcome? Provide an example in your explanation.

**Prompt 2**

**View** the following video:

- Khan Academy's: Count Outcomes Using Tree Diagram

**Answer** the following questions:

- How does a tree diagram relate to the fundamental counting principle? Which is more convenient? Why?

**Prompt 3**

**View** the following video:

- Patrick Just Math Tutorials: Calculating Probability: "And" Statements, Independent Events

**Solve** the following problem:

- Calculate the probability of winning the lottery (such as Powerball, Mega Millions, pull tabs, etc.) in your state/country.
- How much money would you have to spend to ensure you pick a winning ticket?
- Is it possible to guarantee you will win? Provide an example in your explanation.

**Prompt 4**

**View** the following videos:

- Khan Academy: Combination Formula
- Khan Academy: Permutation Formula

**Answer** the following questions:

- How can you determine if you need to use a combination or permutation to count the number of outcomes to something? Which will usually have more outcomes? Why? Provide an example in your explanation.

**Prompt 5**

**View** the following videos:

- Patrick Just Math Tutorials: Calculating Probability - "And" Statements, Independent Events
- Khan Academy: Addition Rule for Probability

**Answer** the following question:

- Explain the use of
*and*and*or*in probabilities. How would you change your calculation based on the language of the problem?

*Note*: All Khan Academy content is available for free at www.khanacademy.org.

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