A card is drawn from a standard deck of 52 cards. What is the probability that the card is a diamond or a king?

• A. 0.33
• B. 0.31
• C. 0.15
• D. 0.85

Answer: (B)

Verified step by step guidance

1. First, identify the total number of possible outcomes. In a standard deck of 52 cards, there are 52 possible outcomes when drawing one card.
2. Next, determine the number of favorable outcomes for drawing a diamond. There are 13 diamonds in a deck.
3. Determine the number of favorable outcomes for drawing a king. There are 4 kings in a deck.
4. Since one of the kings is also a diamond, we must adjust for double-counting. Subtract 1 from the total number of favorable outcomes to account for the king of diamonds being counted twice.
5. Finally, calculate the probability by adding the number of favorable outcomes for diamonds and kings, subtracting the overlap, and then dividing by the total number of cards: \( P(\text{diamond or king}) = \frac{13 + 4 - 1}{52} \).