Two cards are drawn at random and without replacement from a pack of 52 playing cards.

There are 26 black cards in a deck of 52 cards.

Let P (A) be the probability of getting a black card in the first draw.

$\therefore P(A)=\frac{26}{52}=\frac{1}{2}$

Let P (B) be the probability of getting a black card on the second draw.

Since the card is not replaced,

$\therefore \mathrm{P}(\mathrm{B})=\frac{25}{51}$

Thus, probability of getting both the cards black $=\frac{1}{2} \times \frac{25}{51}=\frac{25}{102}$