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:

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 61E: Roulette American roulette is a game in which a wheel turns on a spindle and is divided into 38...
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.
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. 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
Нeads
1
Outcome 2
Heads
2
Outcome 3
Неads
3
Outcome 4
Нeads
4
Outcome 5
Tails
1
Outcome 6
Tails
Outcome 7
Tails
3
Outcome 8
Tails
4
Transcribed Image Text:Coin result Die result Outcome 1 Нeads 1 Outcome 2 Heads 2 Outcome 3 Неads 3 Outcome 4 Нeads 4 Outcome 5 Tails 1 Outcome 6 Tails Outcome 7 Tails 3 Outcome 8 Tails 4
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer