You have 2 bags of brightly colored gumballs. The first bag contains 9 balls, and the second bag contains 5 balls. How many possible ways can you draw 2 gumballs at random, 1 from each bag?

Question

mathstudent55 · Answer

Let's say you start by drawing a gumball from the bag that has 9.
How many different balls can you pick?

anonymous · Answer

9

mathstudent55 · Answer

Good.
Now once you pick one of the first gumballs, you will pick one from the second bag.
How many different gumballs can you pick from the second bag?

anonymous · Answer

9

anonymous · Answer

wait no 5

mathstudent55 · Answer

No. You are now picking a ball from the second bag.
How many balls are int he second bag?

mathstudent55 · Answer

Oh, I see. you are now correct.

mathstudent55 · Answer

Now keep in mind, for each gumball of the first bag, you can pick 5 gumballs of the second bag.
How many total different results is that?

anonymous · Answer

uh like idk 100 something

mathstudent55 · Answer

Let's say the gumballs of the first bag are numbered 1 through 9.
The gumballs of the second bag are labeled A through E.
Here are the results for the first 3 gumballs of the first bag:

anonymous · Answer

would it be 45?

mathstudent55 · Answer

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