Question

A card is drawn from a deck. Probability of getting king is ____.

• A. 1/52
• B. 1/13
• C. 4/13
• D. 1/4

Hint:

In a deck of 52 cards, there are 13 different ranks (Ace through King). Since each rank appears 4 times, the probability of picking any specific rank (like a King, an 8, or an Ace) is always \( 4/52 \), which simplifies to \( 1/13 \).

Answer 1

The Correct Option is B

Think of the deck as being thoroughly shuffled and imagine drawing the card that lands on top.

Because the deck is shuffled randomly, every one of the 52 cards is equally likely to end up in that top position, no card has any special advantage over another.

Out of those 52 equally likely cards, exactly 4 are Kings, one from each suit. So the chance that the top card happens to be one of those 4 Kings is \( \frac{4}{52} \), which simplifies by dividing both numbers by 4. \[ \boxed{P(\text{King}) = \frac{4}{52} = \frac{1}{13}} \]