Question

A card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is either Ace or a King?

• A. $\frac{4}{13}$
• B. $\frac{1}{13}$
• C. $\frac{2}{13}$
• D. None of the above

Hint:

"Either/Or" in probability usually implies addition of individual probabilities.

Answer 1

The Correct Option is C

Step 1: Concept
Probability $P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$.
Step 2: Analysis
Total number of cards = 52.
Number of Aces in a pack = 4.
Number of Kings in a pack = 4.
Step 3: Calculation
Number of favorable outcomes (Ace or King) = $4 + 4 = 8$.
$P(\text{Ace or King}) = \frac{8}{52}$.
Reducing the fraction: $\frac{8 \div 4}{52 \div 4} = \frac{2}{13}$.
Step 4: Conclusion
The probability is $\frac{2}{13}$.
Final Answer:(C)