3. Consider the experiment where you roll a special 4-sided die once and then pick one of two colors (blue, white) of balls from a jar. a. How many different possible outcomes are there? b. List all the possible outcomes.

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**Experiment Description:**

3. Consider the experiment where you roll a special 4-sided die once and then pick one of two colors (blue, white) of balls from a jar.

   a. How many different possible outcomes are there?

   b. List all the possible outcomes.

**Explanation:** 

In this experiment, there are two stages:

1. Rolling a 4-sided die, which can land on any of four possible numbers (1, 2, 3, or 4).
2. Selecting one of two colored balls, either blue or white.

To find the total number of possible outcomes, calculate the product of the possibilities in each stage. 

Thus, there are 4 possible outcomes from the die roll and 2 possible outcomes from picking a ball, resulting in a total of \(4 \times 2 = 8\) possible outcomes.

**List of All Possible Outcomes:**

1. (1, Blue)
2. (1, White)
3. (2, Blue)
4. (2, White)
5. (3, Blue)
6. (3, White)
7. (4, Blue)
8. (4, White)
Transcribed Image Text:**Experiment Description:** 3. Consider the experiment where you roll a special 4-sided die once and then pick one of two colors (blue, white) of balls from a jar. a. How many different possible outcomes are there? b. List all the possible outcomes. **Explanation:** In this experiment, there are two stages: 1. Rolling a 4-sided die, which can land on any of four possible numbers (1, 2, 3, or 4). 2. Selecting one of two colored balls, either blue or white. To find the total number of possible outcomes, calculate the product of the possibilities in each stage. Thus, there are 4 possible outcomes from the die roll and 2 possible outcomes from picking a ball, resulting in a total of \(4 \times 2 = 8\) possible outcomes. **List of All Possible Outcomes:** 1. (1, Blue) 2. (1, White) 3. (2, Blue) 4. (2, White) 5. (3, Blue) 6. (3, White) 7. (4, Blue) 8. (4, White)
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