A standard deck of 52 cards has 4 suits: spades, hearts, diamonds, and clubs. Each suit has 13 cards.

To solve for the probability of selecting a card that is either a diamond or a club:

1. Number of favorable outcomes:
   There are 13 diamonds and 13 clubs in the deck, giving a total of: $13 + 13 = 26 \quad \text{favorable outcomes}.$

2. Total possible outcomes:
   The total number of cards in the deck is 52.

3. Probability formula:
   The probability $P$ of selecting a diamond or club is the ratio of favorable outcomes to total outcomes: $P = \frac{26}{52}.$

4. Simplify the fraction: $P = \frac{26}{52} = \frac{1}{2}.$

Thus, the probability of selecting a diamond or a club is $\frac{1}{2}$.

Would you like more details or have any questions about this?

Here are some related questions:

1. What is the probability of selecting a heart or spade?
2. What is the probability of selecting a face card (Jack, Queen, King) from a standard deck?
3. What is the probability of drawing a red card from a deck?
4. If two cards are drawn consecutively without replacement, what is the probability both are diamonds?
5. What is the probability of drawing an Ace from the deck?

Tip: When calculating probabilities, always reduce fractions to their simplest form to ensure clarity.