Final answer:
The hypergeometric distribution is where the probability of success changes from one trial to the next. This is distinct from the binomial and Poisson distributions, in which probabilities of success are constant per trial or occur at a constant average rate, respectively.
Step-by-step explanation:
The student asks about a type of discrete distribution where the probability of a success changes from one trial to the next. Among the given options, the hypergeometric distribution exhibits this characteristic, since in a hypergeometric experiment, the probability of success changes with each trial because the sample is drawn without replacement.
For example, let's consider drawing cards from a deck. If we want to find the probability of drawing an ace without putting the card back into the deck, each draw changes the composition of the deck; thus, the probability of drawing an ace changes with each draw until an ace is drawn or there are no more cards.
To contrast, the binomial distribution maintains a constant probability of success in each trial, assuming that each trial is independent and identical. Similarly, the Poisson distribution assumes that the events happen at a constant average rate.