One card is drawn at from a pack of 52 cards. Find the probability that the card drawn is:
red and a queen.

Answer

To find the probability that the card drawn is red and a queen, we can follow these steps:

### Step 1: Identify the total number of cards
A standard deck of cards has 52 cards in total.

**Hint:** Remember that a standard deck consists of 4 suits: hearts, diamonds, clubs, and spades.

### Step 2: Identify the number of favorable outcomes
In a standard deck, there are 2 red suits: hearts and diamonds. Each suit has one queen. Therefore, there are 2 red queens (Queen of Hearts and Queen of Diamonds).

**Hint:** Think about how many queens are in the red suits.

### Step 3: Calculate the probability
The probability (P) of drawing a red queen can be calculated using the formula:
\[ P(\text{Red and Queen}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

Substituting the values we have:
\[ P(\text{Red and Queen}) = \frac{2}{52} \]

### Step 4: Simplify the fraction
Now, we simplify the fraction:
\[ P(\text{Red and Queen}) = \frac{2}{52} = \frac{1}{26} \]

### Final Answer
The probability that the card drawn is red and a queen is \( \frac{1}{26} \).

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