7.1q6 **Transcript for Educational Website:**---**Exercise: Events with Two Dice**Suppose two dice (one red, one green) are rolled. Consider the following events:- **A:** The red die shows 5.- **B:** The numbers add to 6.- **C:** At least one of the numbers is 1.- **D:** The numbers do not add to 9.**Task:** Express the given event in symbolic form.**Given Statement:** Either the numbers add to 6, or they add to 9, or at least one of them is 1.**Symbolic Options:**- ( ) $ B \cap D' \cup C $- ( ) $ B' \cup D' \cup C $- ( ) $ B \cup D' \cup C $- ( ) $ B \cup D' \cup C' $- ( ) $ B \cup D' \cap C $**Question:** How many elements does it contain?[Answer Box: _______]--- This exercise helps in understanding how to express and evaluate events in probability using symbolic logic.

Name: 7.1q6 **Transcript for Educational Website:**---**Exercise: Events wit
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Description: 7.1q6 **Transcript for Educational Website:**---**Exercise: Events with Two Dice**Suppose two dice (one red, one green) are rolled. Consider the following events:- **A:** The red die shows 5.- **B:** The numbers add to 6.- **C:** At least one of the

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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7.1q6

**Transcript for Educational Website:**

---

**Exercise: Events with Two Dice**

Suppose two dice (one red, one green) are rolled. Consider the following events:
- **A:** The red die shows 5.
- **B:** The numbers add to 6.
- **C:** At least one of the numbers is 1.
- **D:** The numbers do not add to 9.

**Task:** Express the given event in symbolic form.

**Given Statement:**
Either the numbers add to 6, or they add to 9, or at least one of them is 1.

**Symbolic Options:**

- ( ) $ B \cap D' \cup C $
- ( ) $ B' \cup D' \cup C $
- ( ) $ B \cup D' \cup C $
- ( ) $ B \cup D' \cup C' $
- ( ) $ B \cup D' \cap C $

**Question:**
How many elements does it contain?

[Answer Box: _______]

---

This exercise helps in understanding how to express and evaluate events in probability using symbolic logic.

Expert Solution

Step 1

The sample S here is the set of all ordered pair (R, G)

Where R=Red die and G=green die.

Therefore, n(S)=36

Given are the following events-

A: - The red die shows 5

B: - The numbers add to 6

C: - At least one of the numbers is 1

D: - The number do not add to 9

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