Given: A pack of 52 cards.
As we know there are 26 cards in total which are black. Let A and B denotes respectively the events that the first and second drawn cards are black.
Now, P(A) = P(black card in first draw) =
Because the second card is drawn without replacement so, now the total number of black card will be 25 and total cards will be 51. i.e. the conditional probability of B given that A has already occurred.
Now, P = P(black card in second draw) =
Thus the probability that both the cards are black:
⇒ P(A ∩ B) =
Hence, the probability that both the cards are black = .
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