From a pack of well shuffled card, two cards are taken out at random. The probability that one is a club and another is a king 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. From a pack of 52 cards, 2 cards can be drawn in ⁵²C_² ways. There may be two different events - Let, A = event of selecting both cards from club suit. Here, one card is king of club and B= event of selecting a card from club suit and a non-club king. Therefore, the probability will be –[(¹²C₁ x ¹C₁)/⁵²C₂] + [(¹³C₁ x ³C₁)/⁵²C₂] = 1/26.