Question

Question 6 of 10

2 Points
Maggie's soccer team can win (W), lose (L), or tie (T) each game. Which tree
diagram shows all the possible outcomes for 2 games?

Answer 1

Among the various tree diagrams, the specific one illustrating all possible outcomes for 2 games can't be directly visualized in this text format. However, a tree diagram should exhibit three branches for each game outcome (W, L, and T), leading to a total of nine possible outcomes for the two games.

Step-by-step explanation:

In the context of a soccer team playing two games, each game has three potential outcomes: win (W), lose (L), or tie (T). To visualize all possible outcomes for both games, a tree diagram is a helpful tool. For each game, three branches extend from the starting point, representing the three possible outcomes. Since there are two games, each branch for the first game further splits into three branches for the second game, resulting in a total of nine branches at the final level of the diagram. Each branch's endpoint corresponds to a unique combination of outcomes for the two games.

For instance, if the team wins the first game (W), the subsequent branches represent the potential outcomes of the second game: win (WW), lose (WL), or tie (WT). This process is repeated for each initial outcome (W, L, T), resulting in a comprehensive depiction of all possible sequences of game outcomes. The tree diagram visually organizes and represents the various ways in which the team can perform in the two games, making it an effective tool for understanding the probability and potential scenarios for the soccer team.

Answer 2

TT , TW , TL , LT , LW , LL , WT , WW , WL

Step-by-step explanation:

They tell us that Maggie's fubtol team can can win (W), lose (L), or tie (T) each game, which means that it has 3 possible results and is two games, therefore the number of results would be :

Hence 2 Games will have 3² possible out comes.

3² = 9

In other words, there are a total of 9 possible results, distributed as follows:

T W L

T W L T W L T W L

TT TW TL WT WW WL LT LW LL

It means that the possible outcomes are:

TT , TW , TL , LT , LW , LL , WT , WW , WL