Question

We give out medals. Tyler randomly pulls a colored marble from a bag of mixed colored marbles. He puts the marble back in the bag. He then pulls out another marble at random.

Are these events dependent or independent?

Answer 1

Does the outcome of the second event change depending on the outcome of the first event?
In other words, does the outcome of the first even affect the outcome of the second event?

Answer 2

i don't know

Answer 3

Let's think about it together.

Answer 4

but i asked you for help

Answer 5

Let's say you have 2 bags. Each bag has the same number of marbles with the same combination of different colors.
You ask 2 people, each to take one marble out of each of the 2 bags.

Answer 6

These two events are completely independent, aren't they?

Answer 7

i didn't know

Answer 8

ur guest is just as good as mines

Answer 9

In my example, there are two bags. The taking one marble out of one bag does not change at all what is in the other bag. The taking out of one marble from one bag is completely unrelated to the taking out of one marble from the other bag.

Answer 10

This is what independent events are. One does not affect the other.

Answer 11

No one is guessing here. I'm trying to explain it to you.

Answer 12

Now back to your problem. When you take a marble out of the bag and replace it, it's as if you did nothing to the bag. The second time you take out a marble is completely unaffected by the first one, so these events are independent.