Dependent events in probability is a situation whereby the outcome of an experiment depends on the result of another related experiment.
Independent events on the other hand is a situation where the result of an experiment will not be affected by the result of another related experiment.
When you pick two colored pencils out of a box, the result of the second would be affected by the result of the first because the total number of pencils in the experiment would have been reduced as at the time of the second experiment.
When picking a number from a hat, putting it back and choosing a second number, the results would not be affected by each other, since the total number of samples (numbers in the hat) would still be the same.
Therefore, the answer is;
A: dependent: independent