A bag contains 6 red marbles, 6 white marbles, and 4 blue marbles. What is your sample space?
The sample space for this scenario would consist of all possible combinations of marbles that could be drawn from the bag without replacement. There are a total of 16 marbles in the bag.
Possible outcomes could include:
- Drawing a red marble
- Drawing a white marble
- Drawing a blue marble
- Drawing two red marbles
- Drawing a red marble and a white marble
- Drawing a white marble and a blue marble
- Drawing three red marbles
- Drawing two red marbles and a white marble
- Drawing a white marble and two blue marbles
- Drawing four red marbles
- Drawing three red marbles and a white marble
- Drawing two red marbles and two white marbles
- Drawing two blue marbles and a red marble
And so on, until all possible combinations are listed.