Final answer:
When three cards are picked from a deck of 52 cards without replacement, it means that each card picked is not put back in the deck before picking the next card. This ensures that you cannot pick the same card twice.
Step-by-step explanation:
b. Sampling without replacement
Suppose you pick three cards without replacement. The first card you pick out of the 52 cards is the K of hearts. You put this card aside and pick the second card from the 51 cards remaining in the deck.
It is the three of diamonds. You put this card aside and pick the third card from the remaining 50 cards in the deck.
The third card is the J of spades. Your picks are {K of hearts, three of diamonds, J of spades}. Because you have picked the cards without replacement, you cannot pick the same card twice.