Multiple choice

A and B draw two cards each, one after another, from a pack of well-shuffled pack of $52$ cards. The probability that all the four cards drawn are of the same unit, is?

  1. $\dfrac{44}{85\times 49}$
  2. $\dfrac{11}{85\times 49}$
  3. $\dfrac{13\times 24}{17\times 25\times 49}$

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

The total number of ways to draw four cards from 52 is (52 choose 4), which equals 270725. To get four cards of the same unit (meaning four cards of the same rank), there are 13 possible ranks to choose from, and for each rank, there is exactly (4 choose 4) = 1 way to draw all four cards. The probability is 13 divided by 270725, which simplifies to 11 divided by (85 times 49).

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