There are 9 cherry cokes, 3 diet cokes, and 4 coke zeros in a cooler. selecting a drink and getting a cherry coke, then a coke zero, without replacement makes this probability independent or dependent?

The probability of picking each drink is dependent on the last action since the drink you picked isn't replaced each time, so the probability of picking each drink is different.

For example, you have a lower chance of picking a diet coke in the beginning than you do after you pick 5 other drink out first, since there are less choices.
When there are less choices each time, the probability is dependent since the probability for choosing each option changes.

So the answer is dependent.

Hope this helps!

I’m not positive but i think it’s none of your buisness