You and your friend are playing "Rock-Paper-Scissors." In this game, each of the two players chooses rock, paper, or scissors. Both players reveal their choice at the same time, and the winner is determined based on the choices. Rock beats scissors by smashing it, scissors beats paper by cutting it, and paper beats rock by covering it. If both players choose the same object, it is a tie. All the possible outcomes of the game are listed below.
Your choice Your friend's choice
Outcome

Rock Rock
Outcome

Rock Paper

Rock Scissors

Paper Rock
Outcome

Paper Paper
Outcome

Paper Scissors
Outcome

Scissors Rock

Scissors Paper

Scissors Scissors
If we take outcomes

and

as a subset of the sample space, which of the statements below describe this subset?
Choose all answers that apply:
Choose all answers that apply:
(Choice A) The subset consists of all the outcomes where your friend wins.
A
The subset consists of all the outcomes where your friend wins.
(Choice B) The subset consists of all the outcomes where your friend does not win and does not tie.
B
The subset consists of all the outcomes where your friend does not win and does not tie.
(Choice C) The subset consists of all the outcomes where there is not a tie and you do not lose.
C
The subset consists of all the outcomes where there is not a tie and you do not lose.
(Choice D) The subset consists of all the outcomes where you win.
D
The subset consists of all the outcomes where you win.


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