Describe the Sample Space for the experiment:
A card is drawn from a deck of playing cards and its colour is noted.

Answer

To describe the sample space for the experiment of drawing a card from a deck of playing cards and noting its color, we can follow these steps:

### Step 1: Understand the Deck of Cards
A standard deck of playing cards consists of 52 cards. These cards are divided into four suits: hearts, diamonds, clubs, and spades.

### Step 2: Identify the Colors
In a deck of cards, the colors can be categorized as follows:
- Red cards: Hearts and Diamonds
- Black cards: Clubs and Spades

### Step 3: Count the Cards by Color
- There are 26 red cards (13 hearts + 13 diamonds).
- There are 26 black cards (13 clubs + 13 spades).

### Step 4: Define the Experiment
The experiment involves drawing one card from the deck and noting its color.

### Step 5: Determine the Sample Space
Since we are only interested in the color of the card and not the specific suits or numbers, the sample space consists of the two possible outcomes:
- Red
- Black

### Conclusion
Thus, the sample space for the experiment of drawing a card and noting its color is:
\[ S = \{ \text{Red, Black} \} \]

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