List the outcomes that comprise the event (X U Z)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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**Problem Statement:**

List the outcomes that comprise the event \( (X \cup Z) \).

**Input Field:**

There is a blank input field provided for users to type their answer. To the right of the input field, there is an icon indicating text formatting options. 

**Explanation:**

This problem requires identifying all possible outcomes that belong to either event \( X \) or event \( Z \), or both. The symbol \( \cup \) represents the union of two sets, meaning it includes all elements that are in either set.
Transcribed Image Text:**Problem Statement:** List the outcomes that comprise the event \( (X \cup Z) \). **Input Field:** There is a blank input field provided for users to type their answer. To the right of the input field, there is an icon indicating text formatting options. **Explanation:** This problem requires identifying all possible outcomes that belong to either event \( X \) or event \( Z \), or both. The symbol \( \cup \) represents the union of two sets, meaning it includes all elements that are in either set.
In a competition, two people will be selected from four finalists to receive the first and second prizes. The prize winners will be selected by drawing names from a hat. The names of the four finalists are Anne, Ben, Collin, and Daisy. The possible outcomes can be represented as follows:

AB, AC, AD, BC, BD, CD,  
BA, CA, DA, CB, DB, DC

Here, for example, AD represents the outcome that Anne receives the first prize and Daisy receives the second prize. Let  
X = event that Collin gets first prize  
Y = event that Daisy gets a prize  
Z = event that both prize winners are boys.
Transcribed Image Text:In a competition, two people will be selected from four finalists to receive the first and second prizes. The prize winners will be selected by drawing names from a hat. The names of the four finalists are Anne, Ben, Collin, and Daisy. The possible outcomes can be represented as follows: AB, AC, AD, BC, BD, CD, BA, CA, DA, CB, DB, DC Here, for example, AD represents the outcome that Anne receives the first prize and Daisy receives the second prize. Let X = event that Collin gets first prize Y = event that Daisy gets a prize Z = event that both prize winners are boys.
Expert Solution
Step 1

Given:

The 4 finalists are : Anne, Ben, Collin, Daisy

Sample space

AB, AC, AD, BC, BD, CD, BA, CA, DA, CB, DB, DC

X  is the event that Collin gets first prize

Z is the event that both price winners are boys.

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