Final answer:
The question involves setting up a card-based simulation to study probability, where you label cards to represent different events and then sample them with or without replacement to mimic random outcomes. The approach to sampling affects the possible outcomes and is crucial for understanding sampling in probability.
Step-by-step explanation:
The question pertains to the concept of probability and the process of simulating a random experiment using cards, which is common in dealing with probability questions. When setting up an experiment like this, you start with a certain number of cards, referred to as Blank 1. The cards are labeled with specific outcomes, such as Blank 2 and Blank 4, to represent different events that could occur during the experiment. Blank 5 describes how the cards are manipulated; whether they are shuffled together or kept separate and drawn with replacement determines the approach to sampling. Blank 6 indicates how many cards should represent a particular event. The placeholders Blank 7 and Blank 8 are filled with the specific outcomes or events you are trying to simulate.
In the examples provided, the sampling with replacement is exemplified by picking a card, putting it back into the deck, reshuffling, and then picking again. This could have the same card drawn multiple times, as seen with the 'Q of spades' in one of the examples. Sampling without replacement, on the other hand, means that once a card is picked, it is not returned to the deck before the next draw, as seen in Example 3.5(a).