# Ball Mixing Activity: 6 Balls in 3 Boxes - 8-10th grade probability

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Scratch file designed by Linda Fahlberg-Stojanovska.

Activity Notes

We have 6 balls - 3 Reds and 3 Greens. We drop them randomly into 3 boxes.
What combinations are possible?

The following two events are mutually exclusive and complete.
(a) All 3 boxes will have 1R&1G.
We call this event: MIXED colors.

(b) box 2G, box 2R, box 1R&1G.
We call this event: SEPARATE colors.

Guided Activity

Do the experiment 500-1000 times.

• What is the percent of mixed?
• What is the percent of separate?

Now for some dreaded theory ...

Suppose you drop two same colored balls into the first box.

• What combination of balls remain?
• How many different ways can the remaining balls drop into the other boxes? What events occur?
• What are the chances that you will drop two same colored balls into the first box?

Suppose you drop two different colored balls into the first box.

• What combination of balls remain?
• How many different ways can these remaining balls drop into the other boxes? What events occur?
• What are the chances that you will drop two different colored balls into the first box?
• What are the theoretical probabilities of the two events:mixed and separate?