What is the probability of getting a king or a queen in a single drawn from a pack of 52 cards ?

Options

A. `1/26`
B. `1/13`
C. `2/13`
D. None of these

Answer

To find the probability of drawing a king or a queen from a standard deck of 52 cards, we can follow these steps:

### Step 1: Determine the total number of favorable outcomes
In a standard deck of cards, there are:
- 4 kings (one from each suit: hearts, diamonds, clubs, spades)
- 4 queens (one from each suit: hearts, diamonds, clubs, spades)

Thus, the total number of favorable outcomes (kings or queens) is:
\[ \text{Total favorable outcomes} = \text{Number of Kings} + \text{Number of Queens} = 4 + 4 = 8 \]

### Step 2: Determine the total number of possible outcomes
The total number of possible outcomes when drawing one card from a deck is:
\[ \text{Total possible outcomes} = 52 \]

### Step 3: Calculate the probability
The probability \( P \) of drawing a king or a queen is given by the formula:
\[ P(\text{King or Queen}) = \frac{\text{Number of favorable outcomes}}{\text{Total possible outcomes}} \]
Substituting the values we found:
\[ P(\text{King or Queen}) = \frac{8}{52} \]

### Step 4: Simplify the fraction
To simplify \( \frac{8}{52} \):
\[ \frac{8}{52} = \frac{2}{13} \]

### Final Answer
Thus, the probability of drawing a king or a queen from a standard deck of 52 cards is:
\[ \frac{2}{13} \]

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