# Independent and Dependent Variables

## Definition and Example of Independent and Dependent

Independent- One set does not affect the other set

Dependent- Both events affect each other

Independent Example- Two decks of cards that are separate trying to get a face card from both.

Dependent Example- A deck of cards, taking out cards one at a time until you get a specific card.

## Probability of Independent Example

You roll three dice, what is the probability of getting an even number on 1 die, an odd number between 1 and 3 on another die, and getting a 4 on the last die if the last die is a 10-sided die and the first die is an 8-sided die?

4/8*2/6*1/10=8/480=1/60

## Probability of Dependent Example

20 people are in line for a raffle, there will be 2 people who get picked, what are the chances that the 4th person in line will be picked first and the 8th person in line will be picked 2nd?

1/20*1/19=1/380

## Honors Component

If you picked two of something at the same time it would be independent because the events won't affect each other because they are at the same time. I think a common mistake is that people say it is dependent, and set up the second fraction as a different fraction, but they can't influence each other if they are at the same time.