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

Step 1: Understanding the Concept:
Probability is the measure of the likelihood that an event will occur, calculated as the ratio of favorable outcomes to the total number of possible outcomes.

Step 2: Key Formula or Approach:
\[ P(E) = \frac{n(E)}{n(S)} \] Where \( n(E) \) is the number of kings and \( n(S) \) is the total number of cards in a standard deck.

Step 3: Detailed Explanation:
1. A standard deck of cards contains a total of 52 cards. So, \( n(S) = 52 \). 2. There are 4 suits (Hearts, Diamonds, Clubs, Spades), and each suit has exactly one King. Therefore, there are 4 Kings in total. So, \( n(E) = 4 \). 3. The probability of drawing a King is: \[ P(\text{King}) = \frac{4}{52} \] Dividing both numerator and denominator by 4: \[ P(\text{King}) = \frac{1}{13} \]

Step 4: Final Answer:
The probability of getting a King is 1/13.