A card is drawn from a pack of cards . Find the probability that it is
a black card

Answer

To find the probability of drawing a black card from a standard deck of 52 playing cards, we can follow these steps:

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

### Step 2: Identify the number of black cards in the deck.
In a standard deck, there are two black suits: spades and clubs. Each suit has 13 cards. Therefore, the total number of black cards is:
- Number of spades = 13
- Number of clubs = 13

Total black cards = 13 (spades) + 13 (clubs) = 26 black cards.

### Step 3: Calculate the probability of drawing a black card.
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 (drawing a black card) is 26, and the total number of outcomes (total cards) is 52. Therefore, the probability of drawing a black card is:
\[ P(\text{black card}) = \frac{26}{52} \]

### Step 4: Simplify the probability.
Now, we can simplify \( \frac{26}{52} \):
\[ \frac{26}{52} = \frac{1}{2} \]

### Final Answer:
The probability of drawing a black card from a standard deck of cards is \( \frac{1}{2} \).

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