Subsets of sample spaces
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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.
©
The subset consists of all the outcomes where there is a tie.
The subset consists of all the outcomes where your friend does not win.