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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

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a
2/8
b
4/9
c
2/3
d
1/9

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detailed solution

Correct option is D

A: exactly one ace B: both aces E:A∪B P(B/A∪B)= 4C2 4C112C1+4C2=654=19


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