Assume we let a random selector choose our outfit in the morning. It can choose a Blue, Red, or Yellow shirt, then it goes on to select either Jeans, Sweatpants, or Dress pants. Create the event space for all possible pairs.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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**Creating an Outfit Event Space**

Assume we let a random selector choose our outfit in the morning. It can choose a Blue, Red, or Yellow shirt, then it goes on to select either Jeans, Sweatpants, or Dress pants. Create the event space for all possible pairs.

To construct the event space for this scenario, we list all combinations of shirts and pants:

1. **Shirts**: Blue, Red, Yellow
2. **Pants**: Jeans, Sweatpants, Dress pants

**Event Space:**

- Blue Shirt + Jeans
- Blue Shirt + Sweatpants
- Blue Shirt + Dress Pants

- Red Shirt + Jeans
- Red Shirt + Sweatpants
- Red Shirt + Dress Pants

- Yellow Shirt + Jeans
- Yellow Shirt + Sweatpants
- Yellow Shirt + Dress Pants

This event space consists of 9 possible outfit combinations.
Transcribed Image Text:**Creating an Outfit Event Space** Assume we let a random selector choose our outfit in the morning. It can choose a Blue, Red, or Yellow shirt, then it goes on to select either Jeans, Sweatpants, or Dress pants. Create the event space for all possible pairs. To construct the event space for this scenario, we list all combinations of shirts and pants: 1. **Shirts**: Blue, Red, Yellow 2. **Pants**: Jeans, Sweatpants, Dress pants **Event Space:** - Blue Shirt + Jeans - Blue Shirt + Sweatpants - Blue Shirt + Dress Pants - Red Shirt + Jeans - Red Shirt + Sweatpants - Red Shirt + Dress Pants - Yellow Shirt + Jeans - Yellow Shirt + Sweatpants - Yellow Shirt + Dress Pants This event space consists of 9 possible outfit combinations.
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