A card is drawn from a pack of 52. Find the probability that:
it is a 10 and red in colour.

Answer

To find the probability that a card drawn from a pack of 52 is a 10 and red in color, we can follow these steps:

### Step 1: Understand the Composition of a Deck of Cards
A standard deck of cards consists of 52 cards, which are divided into four suits: hearts, diamonds, clubs, and spades. Each suit has 13 cards.

### Step 2: Identify the Red Cards
In a deck, there are two red suits:
- Hearts (♥)
- Diamonds (♦)

Each of these suits contains 13 cards, so the total number of red cards is:
\[ 13 \text{ (hearts)} + 13 \text{ (diamonds)} = 26 \text{ red cards} \]

### Step 3: Identify the 10s in the Red Cards
Among the red cards, we need to find the 10s. There are:
- 10 of hearts (♥10)
- 10 of diamonds (♦10)

Thus, there are a total of 2 red cards that are 10s.

### Step 4: Calculate the Total Sample Space
The total sample space (the total number of possible outcomes when drawing one card) is:
\[ 52 \text{ cards} \]

### Step 5: Calculate the Probability
The probability of an event is calculated using the formula:
\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} \]

In this case, the number of favorable outcomes (drawing a 10 that is red) is 2, and the total number of possible outcomes is 52. Therefore, the probability is:
\[ \text{Probability} = \frac{2}{52} = \frac{1}{26} \]

### Final Answer
The probability that the card drawn is a 10 and red in color is:
\[ \frac{1}{26} \]

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