Question

One card is drawn from a well shuffled deck of 52 cards. Then the probability that the card will be a face card is ________

• A. \( \frac{1}{13} \)
• B. \( \frac{3}{13} \)
• C. \( \frac{5}{13} \)
• D. \( \frac{7}{13} \)

Hint:

When calculating probabilities, remember to count only the specific type of event (like face cards here) in the total possible outcomes.

Answer 1

The Correct Option is B

Step 1: Total outcomes.
The total number of outcomes is the number of cards in the deck, which is 52.

Step 2: Face cards.
In a deck of 52 cards, there are 3 face cards (Jack, Queen, King) in each suit. So, the total number of face cards is: \[ 3 \times 4 = 12 \]

Step 3: Probability.
The probability of drawing a face card is: \[ \text{Probability} = \frac{\text{Number of face cards}}{\text{Total number of cards}} = \frac{12}{52} = \frac{3}{13} \]

Final Answer: \( \frac{3}{13} \).