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 has 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 there are 4 + 4 = 8 favorable outcomes.
3. Determine the total number of possible outcomes, which is the total number of cards in the deck: 52.
4. Use the probability formula: Probability = (Number of favorable outcomes) / (Total number of possible outcomes).
5. Substitute the values into the formula: Probability = 8 / 52. Simplify the fraction to find the probability of selecting an ace or a king.