You are dealt one card from a 62-card deck. Find the probability that you are dealf a club or a picture card. The probabilly is $$ \square $$. (Type an integer or a simplified fraction.)

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To find the probability of being dealt a club or a picture card from a 62-card deck, we need to follow these steps:

1. **Identify the total number of cards in the deck**: 
   - The total number of cards is $$ 62 $$.

2. **Identify the number of clubs in the deck**: 
   - In a standard deck, there are 13 clubs.

3. **Identify the number of picture cards in the deck**: 
   - Picture cards are typically the Jack, Queen, and King. In a standard deck, there are 3 picture cards per suit, and since there are 4 suits, the total number of picture cards is $$ 3 \times 4 = 12 $$.

4. **Calculate the total number of favorable outcomes**:
   - We need to find the total number of cards that are either clubs or picture cards. However, we must be careful not to double-count the picture cards that are also clubs.
   - The number of clubs is $$ 13 $$.
   - The number of picture cards is $$ 12 $$.
   - The number of picture cards that are clubs (Jack of Clubs, Queen of Clubs, King of Clubs) is $$ 3 $$.

Therefore, the total number of favorable outcomes is:
   $$
   \text{Total favorable outcomes} = \text{Number of clubs} + \text{Number of picture cards} - \text{Number of picture cards that are clubs}
   $$
   $$
   = 13 + 12 - 3 = 22
   $$

5. **Calculate the probability**:
   - The probability $$ P $$ of being dealt a club or a picture card is given by the ratio of the number of favorable outcomes to the total number of outcomes:
   $$
   P = \frac{\text{Total favorable outcomes}}{\text{Total number of cards}} = \frac{22}{62}
   $$

6. **Simplify the fraction**:
   - We can simplify $$ \frac{22}{62} $$ by dividing both the numerator and the denominator by their greatest common divisor, which is $$ 2 $$:
   $$
   P = \frac{22 \div 2}{62 \div 2} = \frac{11}{31}
   $$

Thus, the probability that you are dealt a club or a picture card is $$ \frac{11}{31} $$.
The probability is $$ \frac{11}{31} $$.

You are dealt one card from a 62-card deck. Find the probability that you are dealf a club or a picture card. The probabilly is \( \square \). (Type an integer or a simplified fraction.)

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