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## Two cards are chosen at random from a deck of 52 playing cards. What is the probability that both of them have the same value?

## (A) 1/17 (B) 3/17 (C) 5/17 (D) 7/17

Asked On2019-07-10 14:58:46 by:Jaynil-Gaglani

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Download question setAnswersTwo cards can be drawn in 52C2 ways...

there are 4 aces and 2 aces can be drawn in 4C2 ways.

so desired prob = 4C2/52C2 = 12/2652.

second method

first ace can be drawn in 4/52 ways

now cards are 51 and aces are 3 now as we have already drawn one card.

now choosing another ace card out of remaining 51 cards =3/51

so desired probability= (4/52)*(3/51)= 12/2652

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