Multiple choice

A magician has a pack of 52 cards. Four cards are drawn by a volunteer. What is the probability of drawing four cards are of Ace, King, Queen, and Knave of the same suit?

  1. 1/270725

  2. 4/270725

  3. 3/270725

  4. 1/4

  5. None of the above
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total ways to draw 4 cards from 52 is 52C4 = 270725. The number of ways to pick Ace, King, Queen, Knave of the same suit is 4 (one for each suit). Thus, probability is 4/270725.

AI explanation

Using the classical definition of probability, the total number of ways to draw 4 cards from 52 is 52 choose 4, which equals 270725. Since the Ace, King, Queen, and Knave must be of the same suit, there is exactly 1 favorable combination for each of the 4 suits. This gives a total of 4 favorable combinations. The probability is therefore 4 divided by 270725, which is the result.

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