You are dealt one card from a 52-card deck. Find the probability of getting an ace or a king.

Verified step by step guidance

1. Step 1: Understand the problem. We need to find the probability of drawing either an ace or a king from a standard 52-card deck.
2. Step 2: Identify the total number of possible outcomes. In a standard deck, there are 52 cards.
3. Step 3: Determine the number of favorable outcomes. There are 4 aces and 4 kings in a deck, so there are 4 + 4 = 8 favorable outcomes.
4. Step 4: Use the probability formula: \( P(A \text{ or } K) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} \).
5. Step 5: Substitute the values into the formula: \( P(A \text{ or } K) = \frac{8}{52} \). Simplify the fraction if necessary.

Key Concepts

Probability

Probability is a measure of the likelihood that a particular event will occur, expressed as a number between 0 and 1. In this context, it quantifies the chance of drawing a specific type of card from a deck. The formula for probability is the number of favorable outcomes divided by the total number of possible outcomes.

Favorable Outcomes

Favorable outcomes refer to the specific results that satisfy the conditions of the event we are interested in. In this case, the favorable outcomes are the aces and kings in a standard 52-card deck. There are 4 aces and 4 kings, making a total of 8 favorable outcomes for this probability question.

Total Outcomes

Total outcomes represent the complete set of possible results in a probability scenario. For a standard deck of cards, there are 52 total outcomes since there are 52 cards. Understanding the total number of outcomes is crucial for calculating the probability of drawing an ace or a king.