A standard deck of 52 cards has four suits: hearts, diamonds, clubs, and spades. Each suit contains 13 cards, including one King and one Ace.

To find the probability of randomly selecting a King or an Ace, we need to count the total number of Kings and Aces in the deck:

1. Number of Kings: There are 4 Kings in a deck (one for each suit).
2. Number of Aces: There are 4 Aces in a deck (one for each suit).

The total number of Kings or Aces in the deck is:

$4 + 4 = 8$

Now, the probability of an event is given by:

$\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$

Here, the number of favorable outcomes is 8 (the Kings and Aces), and the total number of possible outcomes is 52 (all the cards in the deck).

So, the probability of randomly selecting a King or an Ace is:

$\frac{8}{52}$

To reduce this fraction, we find the greatest common divisor (GCD) of 8 and 52, which is 4. Now, divide both the numerator and the denominator by 4:

$\frac{8 \div 4}{52 \div 4} = \frac{2}{13}$

Thus, the probability of randomly selecting a King or an Ace from a standard deck of 52 cards is:

$\boxed{\frac{2}{13}}$

Would you like more details or have any questions?

Related Questions:

1. What is the probability of drawing a red card from a standard deck?
2. How many ways can you draw a face card from a standard deck?
3. What is the probability of selecting a Queen or a heart from a standard deck?
4. If two cards are drawn at random without replacement, what is the probability that both are Aces?
5. What is the probability of drawing a card that is either a spade or a King?

Tip: Always check if there is any overlap in the criteria when finding probabilities of combined events (like drawing a King or an Ace).