You and your friend are playing a game where you flip a coin and roll a fair four-sided die. You win if the coin is heads and the die lands on an odd number. Your friend wins if the coin is tails and the die lands on an even number. You tie if the coin is heads and the die is even or if the coin is tails and the die is odd. All the possible outcomes of the game are listed below. If we take outcomes 1, 2, 3, 4, 5, and 7 as a subset of the sample space, which of the statements below describe this subset? Choose all answers that apply:

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...
icon
Related questions
Question

Deals with subsets of sample spaces. Answer correctly. The chart goes with the question.

You and your friend are playing a game where you flip a coin and roll a fair four-sided die. You win if the coin is heads and the die lands on an odd number. Your friend wins if the coin is tails and the die lands on an even number. You tie if the coin is heads and the die is even or if the coin is tails and the die is odd. All the possible outcomes of the game are listed below.

**If we take outcomes 1, 2, 3, 4, 5, and 7 as a subset of the sample space, which of the statements below describe this subset?**

**Choose all answers that apply:**

- **A**: The subset consists of all the outcomes where either you win or there is a tie.

- **B**: The subset consists of all the outcomes where your friend does not lose.

- **C**: The subset consists of all the outcomes where there is a tie.

- **D**: The subset consists of all the outcomes where your friend does not win.
Transcribed Image Text:You and your friend are playing a game where you flip a coin and roll a fair four-sided die. You win if the coin is heads and the die lands on an odd number. Your friend wins if the coin is tails and the die lands on an even number. You tie if the coin is heads and the die is even or if the coin is tails and the die is odd. All the possible outcomes of the game are listed below. **If we take outcomes 1, 2, 3, 4, 5, and 7 as a subset of the sample space, which of the statements below describe this subset?** **Choose all answers that apply:** - **A**: The subset consists of all the outcomes where either you win or there is a tie. - **B**: The subset consists of all the outcomes where your friend does not lose. - **C**: The subset consists of all the outcomes where there is a tie. - **D**: The subset consists of all the outcomes where your friend does not win.
| Coin result | Die result |
|-------------|------------|
| Outcome 1   | Heads      | 1          |
| Outcome 2   | Heads      | 2          |
| Outcome 3   | Heads      | 3          |
| Outcome 4   | Heads      | 4          |
| Outcome 5   | Tails      | 1          |
| Outcome 6   | Tails      | 2          |
| Outcome 7   | Tails      | 3          |
| Outcome 8   | Tails      | 4          |

This table represents the possible outcomes of flipping a coin and rolling a die. Each "Outcome" combines the result of a coin flip (Heads or Tails) with the result of rolling a die (numbers 1 through 4). There are eight unique combinations shown, each representing a distinct event that could occur during such an experiment. The outcomes are listed sequentially, indicating all possible pairings of the coin and die results.
Transcribed Image Text:| Coin result | Die result | |-------------|------------| | Outcome 1 | Heads | 1 | | Outcome 2 | Heads | 2 | | Outcome 3 | Heads | 3 | | Outcome 4 | Heads | 4 | | Outcome 5 | Tails | 1 | | Outcome 6 | Tails | 2 | | Outcome 7 | Tails | 3 | | Outcome 8 | Tails | 4 | This table represents the possible outcomes of flipping a coin and rolling a die. Each "Outcome" combines the result of a coin flip (Heads or Tails) with the result of rolling a die (numbers 1 through 4). There are eight unique combinations shown, each representing a distinct event that could occur during such an experiment. The outcomes are listed sequentially, indicating all possible pairings of the coin and die results.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON