Answer: Dependent
Why is this?
The first selection affects the probability of the second selection.
Let's say we had 10 numbers to pick from: {1,2,3,4,5,6,7,8,9,10}
The probability of getting any single number is 1/10 = 0.10 = 10%
After that first ball is picked, and not put back (thats the key here), we have 9 balls left. The probability of getting a single number from this new reduced set is 1/9 = 0.111 = 11.1% approximately. We have a slightly higher chance to get a certain number compared to than before. This is because there is a smaller pool to pick from. The second selection's probability being changed based on the first event is why the second event is dependent on the first. The events would only be independent if the second probability does not change no matter what the first event does.
