From a pack of 52 playing cards, two cards are drawn randomly. The probability of getting two aces is

A pack of playing card contains 52 cards, divided into 4 suits. These are – Spades, Clubs, Hearts and Diamonds. Each suit has 13 cards. Among these 13 cards, 9 cards are numbered 2 to 10. The remaining four cards are ace, king, queen and jack. Therefore, each suit contains one ace. Hence, there are total 4 aces in the pack. Out of 4 aces, two can be drawn in ⁴C₂ ways. Here, n(E) = ⁴C₂ = 6. Again, from a pack of 52 cards, 2 cards can be drawn in ⁵²C₂ ways.Therefore, n(S) = ⁵²C₂ = 1326 and the required probability is 6/1326 = 1/221.