Classical Probability
It's defined as the type of probability when there are n equally likely outcomes of an experiment.
It can be calculated without actually performing any sampling, only by knowing the theoretical structure of the experiment.
The only example of such a probability is the rolling of a dice. We already know there are 6 possible outcomes in each roll.
Catching fish from a lake is not a classical probability because we don't know how many fish are there of each type or in total.
The same can be applied to the event of taking cards from a large pile. If we don't know how many cards are there and how many reds and blacks, we cannot predict or calculate a probability.
Finally, the last example cannot be classified as classical because Lucia cannot say in advance how many students are from her home state. She picks them randomly.