A card is drawn from a pack of 52 cards. Find the probability of getting a heart or a club

Answer

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

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

### Step 2: Identify the number of favorable outcomes
In a standard deck:
- There are 13 heart cards.
- There are 13 club cards.

### Step 3: Calculate the probability of drawing a heart
The probability of drawing a heart can be calculated using the formula:
\[ P(\text{Heart}) = \frac{\text{Number of Heart Cards}}{\text{Total Number of Cards}} = \frac{13}{52} \]

### Step 4: Calculate the probability of drawing a club
Similarly, the probability of drawing a club is:
\[ P(\text{Club}) = \frac{\text{Number of Club Cards}}{\text{Total Number of Cards}} = \frac{13}{52} \]

### Step 5: Combine the probabilities
Since drawing a heart and drawing a club are mutually exclusive events (they cannot happen at the same time), we can add the probabilities:
\[ P(\text{Heart or Club}) = P(\text{Heart}) + P(\text{Club}) = \frac{13}{52} + \frac{13}{52} \]

### Step 6: Simplify the result
Now, we can simplify the combined probability:
\[ P(\text{Heart or Club}) = \frac{13 + 13}{52} = \frac{26}{52} = \frac{1}{2} \]

### Final Answer
The probability of drawing a heart or a club from a pack of 52 cards is \(\frac{1}{2}\).

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