Answer:
To determine the number of outcomes for Nikia's random selection of a team card and a character card for a role-playing game, we can use a tree diagram, table, or list.
There are four possible teams: air, fire, land, and water. Once a team card is selected, there are three possible character cards: healer, spy, and thief. Therefore, the total number of outcomes is the product of the number of options for each selection, which is:
4 (number of team options) x 3 (number of character options) = 12
So there are 12 possible outcomes for Nikia's random selection of a team card and a character card. However, since Nikia has specified that her favorite team is air and her favorite character is spy, the number of outcomes that would satisfy her preferences is:
1 (air team) x 1 (spy character) = 1
Therefore, only one outcome would satisfy Nikia's preferences.