The problem involves determining the sample space and specific outcomes for a scenario involving a coin toss and drawing a card. Let’s break it down:

1. Sample Space Description:

   • A coin is tossed, and the result can be either heads (C) or tails (S).
   • After the coin toss, a card is drawn from a set of four cards numbered 1, 2, 3, and 4.

   The format $C1, C2, \dots$ represents the outcome where the coin landed on heads (C) and the card drawn is 1, 2, etc., and similarly $S1, S2, \dots$ represents outcomes with tails (S).

   • Sample Space (Espacio muestral): $\{C1, C2, C3, C4, S1, S2, S3, S4\}$

2. Outcomes Where the Coin Lands on Tails (S):

   • We are interested in all outcomes where the coin result is $S$, which includes combinations $S1, S2, S3,$ and $S4$.

   • Set of Outcomes (Suceso en el que la moneda cae en sello): $\{S1, S2, S3, S4\}$

Let me know if you’d like further clarification or additional details!

Expanding Understanding

1. How would the sample space change if Catalina draws two cards instead of one?
2. What is the probability of drawing a card numbered 1 after the coin lands heads (C)?
3. If the coin is biased, how does that affect the probabilities of outcomes in the sample space?
4. How many outcomes would there be if the card set had 6 cards instead of 4?
5. How could you represent this problem in a probability tree diagram?

Tip: When dealing with compound events, always list all possible combinations to ensure the sample space is complete!