What is the probability of getting a red queen when a card is drawn from a well shuffled pack of 52 cards?

Options

A. `2/13`
B. `1/22`
C. `4/13`
D. `1/26`

Answer

To find the probability of drawing a red queen from a well-shuffled pack of 52 cards, we can follow these steps:

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

**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 queens: the Queen of Hearts and the Queen of Diamonds.

**Hint:** Think about how many queens are there in total and how many of those are red.

### Step 3: Calculate the probability
Probability is calculated using the formula:

\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

Substituting the values we have:

\[ \text{Probability of getting a red queen} = \frac{2}{52} \]

### Step 4: Simplify the fraction
Now, we can simplify the fraction:

\[ \frac{2}{52} = \frac{1}{26} \]

### Final Answer
The probability of drawing a red queen from a well-shuffled pack of 52 cards is \(\frac{1}{26}\).

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