UPSC NDA I 2015 Mathematics Solved Paper

Let P (A) denote the probability of getting an Ace. We know that there are in total 4 aces and 52 cards.
Hence
P(A)=

4

52

=

1

13

Now probability of drawing two successive aces without replacement from a well shuffled deck of cards will be equal to
=(

4

52

)(

3

51

)
=(

1

13

)(

1

17

)
=(

1

13×17

)
=

1

221