All the jacks, queens, kings and aces of a regular 52 cards deck are taken out. The 16 cards are thoroughly shuffled and my opponent, a person who always tells the truth, simultaneously draws two cards at random and says, ‘I hold at least one ace’ The probability that he holds two aces is

Question : All the jacks, queens, kings and aces of a regular 52 cards deck are taken out. The 16 cards are thoroughly shuffled and my opponent, a person who always tells the truth, simultaneously draws two cards at random and says, ‘I hold at least one ace’ The probability that he holds two aces is

(A) 2/8

(B) 4/9

(C) 2/3

(D) 1/9

Answer : option (D)

Solution :

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