Ritesh selected a card from a deck of 52 playing cards. Find the probability that the selected card is a red queen.

Options

A. `(2)/(13)`
B. `(1)/(24)`
C. `(1)/(13)`
D. `(1)/(26)`

Answer

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

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

**Hint:** Remember that a standard deck consists of 4 suits: hearts, diamonds, clubs, and spades, with each suit containing 13 cards.

### Step 2: Determine the number of favorable outcomes.
In a deck of cards, there are two red queens: one from the hearts and one from the diamonds.

**Hint:** Think about the colors of the suits and how many queens are present in each color.

### Step 3: Calculate the probability.
The probability (P) of an event is given by the formula:
\[ P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

For our case:
- Number of favorable outcomes (red queens) = 2
- Total number of outcomes (total cards) = 52

So, the probability of selecting a red queen is:
\[ P(\text{red queen}) = \frac{2}{52} \]

### Step 4: Simplify the fraction.
We can simplify \(\frac{2}{52}\) by dividing both the numerator and the denominator by 2:
\[ P(\text{red queen}) = \frac{1}{26} \]

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

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