Answer if you only know

you and your friend are playing "fire-water-sponge." in this game, each of the two players chooses fire, water, or sponge. both players reveal their choice at the same time, and the winner is determined based on the choices. fire beats sponge by burning it, sponge beats water by soaking it up, and water beats fire by putting it out. if both players choose the same object, it is a tie. all the possible outcomes of the game are listed below.

if we take outcomes 1,5, and 8 as a subset of the sample space, which of the statements below describe this subset?

select all that apply.

the subset consists of all the outcomes where you do not win and there is not a tie.

the subset consists of all the outcomes where you win.

the subset consists of all the outcomes where there is a tie.

the subset consists of all the outcomes where your friend wins.

⇒ Based on the given rules of "Fire-Water-Sponge," outcomes 1, 5, and 8 are outcomes where you lose.

Therefore, 1,5, and 8 are the subset of outcomes where you lose, and we now can say that the statements "The subset consists of all of the outcomes where your friend wins" and "The subset consists of all of the outcomes where you do not win, and there is not a tie" accurately describe the subset.


Furthermore, because every subset outcome involves you losing, the statements "The subset consists of all of the outcomes where you win" and "The subset consists of all of the outcomes where there is a tie" do not accurately describe the subset.

 The statements that accurately describe the given subset of the sample space are:

 The subset consists of all of the outcomes where your friend wins.

 The subset consists of all of the outcomes where you do not win and there is not a tie.