7th Grade Math / Lesson 9A: Sample Space
What will we be learning in this lesson?
One way of keeping track of this is by making an organized list.
Pick an item to start with. Say we start with the color red. This came out of the first bag and will need to be paired up with each number in the second bag.
Continue this for each color until you have used all of the colors.
Red, 1 blue, 1 green, 1 white, 1
Red, 2 blue, 2 green, 2 white, 2
Red, 3 blue, 3 green, 3 white, 3
This gives a complete list of all possible ways of picking one item from each bag.
Each combination listed is called an outcome. An outcome is one of the results of the event. In this case, the event is picking two items, one from each box.
The list of all outcomes is called the sample space. This event has 12 outcomes in its sample space. This means that there are 12 different ways that an item from each box can be chosen.
The tree diagram provides the same information that the organized list does. There are 12 outcomes in this sample space.