To solve this problem, we need to determine the probability of selecting a card that is not a diamond from a standard deck of 52 cards.

1. A standard deck has 4 suits: hearts, diamonds, clubs, and spades.
2. Each suit has 13 cards, so there are 13 diamonds in the deck.

Step-by-Step Solution:

1. Total number of cards: 52
2. Number of diamond cards: 13
3. Number of non-diamond cards: $52 - 13 = 39$

Now, we calculate the probability of drawing a card that is not a diamond by dividing the number of non-diamond cards by the total number of cards:

$\text{Probability (not a diamond)} = \frac{39}{52}$

Simplifying the Fraction

Both 39 and 52 can be divided by their greatest common divisor, which is 13:

$\frac{39}{52} = \frac{39 \div 13}{52 \div 13} = \frac{3}{4}$

Answer

The probability that a randomly selected card is not a diamond is:

$\frac{3}{4}$

Would you like more details, or do you have any questions?

Here are five related questions that build on this concept:

1. What is the probability of selecting a heart from a standard deck of 52 cards?
2. If two cards are drawn at random without replacement, what is the probability that neither is a diamond?
3. What is the probability of selecting a red card (either heart or diamond) from a standard deck?
4. How would the probability change if jokers were included, making it a 54-card deck?
5. What is the probability of selecting either a spade or a diamond?

Tip: Remember that understanding suits and card counts in a deck helps in calculating probabilities effectively for card games and similar problems.