Find the probabilty of drawing an ace or a jack from a pack of 52 cards.

Answer

To find the probability of drawing an ace or a jack from a pack of 52 cards, we can follow these steps:

### Step 1: Identify the total number of cards
In a standard deck of cards, there are a total of 52 cards.

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

### Step 2: Determine the number of favorable outcomes
In the deck, there are 4 aces (one from each suit) and 4 jacks (one from each suit). Therefore, the total number of favorable outcomes for drawing either an ace or a jack is:

\[ \text{Number of Aces} + \text{Number of Jacks} = 4 + 4 = 8 \]

**Hint:** Count the number of aces and jacks separately, then add them together to find the total favorable outcomes.

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

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

Substituting the values we have:

\[ P(\text{Drawing an Ace or Jack}) = \frac{8}{52} \]

### Step 4: Simplify the fraction
To simplify \( \frac{8}{52} \), we can divide both the numerator and the denominator by their greatest common divisor, which is 4:

\[ \frac{8 \div 4}{52 \div 4} = \frac{2}{13} \]

### Final Answer
Thus, the probability of drawing an ace or a jack from a pack of 52 cards is:

\[ \frac{2}{13} \]

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