A pack of cards contains 4 aces, 4 kings, 4 queens and 4 jacks. Two cards are drawn at random. The probability that at least one of them is an ace is

As total number of cards = 16


2 cards can be drawn in 16C2 ways = 120 ways


As we need to find the probability for the event E such that at least one of them is an ace.


We can solve this problem using negation.


We will find the probability for event that both cards are ace (E’)


Automatically 1 – P(E’) will give P(E)


For finding P(E’) we will select both cards out of 4 ace cards


P(E’) =


P(E) = 1 – 1/20 = 19/20


Hence,


P(E) = 19/20


As our answer matches only with option (c)


Option (c) is the only correct choice.

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