What is the probability of drawing an ace or a king from a well-shuffled standard deck of 52 playing cards?

Question

Accepted Answer

Probability is defined as the ratio of favorable outcomes to the total number of possible outcomes.

### Formula:
$$P(E) = \frac{	ext{Favorable Outcomes}}{	ext{Total Outcomes}}$$

### Step-by-Step Calculation:
1. **Total Outcomes:** A standard deck contains $52$ cards.
2. **Favorable Outcomes:**
   * Number of Aces in a deck = $4$
   * Number of Kings in a deck = $4$
   * Since an individual card cannot be both an Ace and a King, these are mutually exclusive events.
   * Total favorable cards = $4 + 4 = 8$.
3. **Calculate Probability:**
   $$P(	ext{Ace or King}) = \frac{8}{52}$|
   Simplify the fraction by dividing numerator and denominator by 4:
   $$P(	ext{Ace or King}) = \frac{2}{13}$$

**Answer:** The probability is **$2/13$**.

What is the probability of drawing an ace or a king from a well-shuffled standard deck of 52 playing cards? - DDCET Q&A

What is the probability of drawing an ace or a king from a well-shuffled standard deck of 52 playing cards?

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