Multiple choice

Four cards are successively drawn without replacement from a deck of $52$ playing cards. What is the probability that all the four cards are kings ?

  1. $\dfrac { 1 }{ 270725 } $
  2. $\dfrac { 1 }{ 270125 } $
  3. $\dfrac { 1 }{ 27025 } $

  4. None of these
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A Correct answer
Explanation

Probability = (4/52) * (3/51) * (2/50) * (1/49) = 24 / 6497400 = 1 / 270725.

AI explanation

We can use the multiplication theorem of probability to find the chance of drawing four kings in succession. The probability of getting a king on the first, second, third, and fourth draw is 4/52, 3/51, 2/50, and 1/49 respectively. Multiplying these gives (4 x 3 x 2 x 1) / (52 x 51 x 50 x 49) = 24 / 6497400 = 1 / 270725.

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