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. АВ, АС, AD, BC, BD, CD, ВА, СА, DA, CВ, 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 price winners are boys. %3D %3D

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In a competition, two people will be selected from four finalists to receive the first and second prizes. The prize winners will be chosen 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 the 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 chosen 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 the first prize - Y = event that Daisy gets a prize - Z = event that both prize winners are boys.
**Question:**  
List the outcomes that comprise the event \( (X \cap Z) \).

**Input Field:**  
A text box is provided for the user to enter their answer.

**Explanation:**  
In this question, you are asked to identify and list the outcomes that are part of the intersection of events \( X \) and \( Z \). The symbol \( \cap \) represents the intersection, meaning you need to find the common elements shared by both sets \( X \) and \( Z \).
Transcribed Image Text:**Question:** List the outcomes that comprise the event \( (X \cap Z) \). **Input Field:** A text box is provided for the user to enter their answer. **Explanation:** In this question, you are asked to identify and list the outcomes that are part of the intersection of events \( X \) and \( Z \). The symbol \( \cap \) represents the intersection, meaning you need to find the common elements shared by both sets \( X \) and \( Z \).
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