From a pack of 52 playing cards, two cards are drawn together at random. Calculate the probability of both the cards being king?

1/15
25/57
35/256
None of these

Correct Answer: None of these

Explanation:

Two cards can be drawn from a pack of 52 playing cards in ⁵²C₂ ways. i,e., 52 x 51 / 2 = 1326 ways. The event that two kings appear in a single drawn of cards is ⁴C₂ ways, i.e 6 ways.
∴ The probability that the two cards drawn from a pack of 52 cards are kings = 6/1326 = 1/221

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