6. If a card is chosen at random, what is the probability of selecting a diamond ( \( ) \) ? A. \( 6 \% \) B. \( 12 \% \) C. \( 50 \% \) D. \( 60 \% \)

To find the probability of selecting a diamond from a standard deck of cards, we can follow these steps: 1. **Identify the total number of cards in a standard deck**: A standard deck has 52 cards. 2. **Identify the number of diamond cards**: There are 13 diamonds in a standard deck (one for each rank: Ace through King). 3. **Calculate the probability**: The probability \( P \) of selecting a diamond can be calculated using the formula: \[ P(\text{diamond}) = \frac{\text{Number of diamond cards}}{\text{Total number of cards}} = \frac{13}{52} \] 4. **Simplify the fraction**: \[ P(\text{diamond}) = \frac{13}{52} = \frac{1}{4} \] 5. **Convert to percentage**: To convert the probability to a percentage, multiply by 100: \[ P(\text{diamond}) = \frac{1}{4} \times 100 = 25\% \] Now, let's compare this result with the provided options: A. \( 6 \% \) B. \( 12 \% \) C. \( 50 \% \) D. \( 60 \% \) None of the options match the calculated probability of \( 25\% \). Therefore, it seems there may be an error in the options provided. The correct probability of selecting a diamond from a standard deck of cards is \( 25\% \).