If a single card is randomly selected from a deck of cards, what is the probability of selecting an ace or a king?

• A. 0.0059
• B. 0.077
• C. 0.15
• D. 0.85

Answer: (C)

Verified step by step guidance

1. Understand that a standard deck of cards has 52 cards, consisting of 4 suits: hearts, diamonds, clubs, and spades. Each suit contains 13 cards, including one ace and one king.
2. Identify the total number of favorable outcomes. There are 4 aces and 4 kings in the deck, so the total number of favorable outcomes is 4 (aces) + 4 (kings) = 8.
3. Calculate the probability of selecting an ace or a king by dividing the number of favorable outcomes by the total number of possible outcomes. The formula for probability is: \( P(A \text{ or } K) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} \).
4. Substitute the known values into the probability formula: \( P(A \text{ or } K) = \frac{8}{52} \).
5. Simplify the fraction \( \frac{8}{52} \) to its simplest form to find the probability of selecting an ace or a king.