The probability of drawing a red 9 from a standard pack of 52 plying cards is

Options

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

Answer

To find the probability of drawing a red 9 from a standard pack of 52 playing cards, we can follow these steps:

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

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

### Step 2: Identify the number of favorable outcomes
In a standard deck, there are two red 9s: the 9 of hearts and the 9 of diamonds.

**Hint:** Count the number of red suits in the deck and identify which cards are numbered 9.

### Step 3: Calculate the probability
The probability \( P \) of an event is given by the formula:

\[ P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

In this case, the number of favorable outcomes (red 9s) is 2, and the total number of outcomes (total cards) is 52.

So, we can write:

\[ P(\text{red 9}) = \frac{2}{52} \]

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

\[ P(\text{red 9}) = \frac{2}{52} = \frac{1}{26} \]

### Final Answer
The probability of drawing a red 9 from a standard pack of 52 playing cards is \( \frac{1}{26} \).

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