Multiple choice

From a pack of $52$ cards, two cards are drawn together at random. What is the probability of both the cards being kings?

  1. $\dfrac {1}{15}$
  2. $\dfrac {25}{57}$
  3. $\dfrac {35}{256}$
  4. $\dfrac {1}{221}$
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D Correct answer
Explanation

Total ways to draw 2 cards = 52C2 = (52*51)/2 = 1326. Ways to draw 2 kings = 4C2 = 6. Probability = 6/1326 = 1/221.

AI explanation

The total number of ways to draw two cards from a pack of 52 is given by the combination formula 52C2, which equals (52 * 51) / 2 = 1326. Since there are 4 kings in a deck, the number of ways to draw two kings is 4C2, which equals (4 * 3) / 2 = 6. The probability is 6/1326, which simplifies by dividing the numerator and denominator by 6 to get 1/221.

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