Two cards are drawn at random and without replacement from a pack of 52 playing cards. Find the probability that both the cards are black.

Explanation

It is known that, in a deck of 52 cards, there are 26 black and 26 white cards.

Here, `n(S)=52`

Now, let the events that the first and second cards drawn are black be represented by `A` and `B`.

So, `n(A)=26`

Then, `P(A)={n(A)}/{n(S)}`

`=>P(A)=26/52`

`=>P(A)=1/2`

Also given that the cards are not replaced.

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