Final answer:
Sampling without replacement means each member of a population is chosen only once for a sample and is not returned to the population, affecting the probability of future events, which become dependent.
Step-by-step explanation:
Sampling without replacement refers to the process where each member of a population is chosen only once for inclusion in a sample. Once selected, that member is not returned to the population before the next member is chosen. This impacts the probability of subsequent selections since the population decreases in size with each pick, which makes the events dependent. When events are dependent, they are not considered to be independent because the outcome of one event affects the outcome of another.
For example, if you are drawing cards from a deck, not returning a card to the deck after drawing it changes the composition of the deck and the probabilities of drawing each remaining card. Thus, if you draw a King of hearts first, you cannot draw that same card again, and the deck is now down to 51 cards, altering the odds for the next draw.
So, the correct option is B) Sampled items are not returned, meaning once an item is selected, it is not put back into the population or set from which it was taken.