A pack of cards has one card missing. Two cards are drawn randomly and are found to be spades. The probability that the missing card is not a spade, is :

Step-by-step solution

E 1 : Event denotes spade is missing P E 1 = 1 4 ; P E ¯ 1 = 3 4 A : Event drawn two cards are spade P A E 1 = C 2 12 C 2 51 ,   P A E 1 ¯ = C 2 13 C 2 51 P E 1 A = 3 4 × C 2 13 C 2 51 1 4 × C 2 12 C 2 51 + 3 4 × C 2 13 C 2 51 = 39 50