Answer :

There are 52 cards in a deck. Let A be the event that first card drawn is a heart. There are 13 hearts in the pack. Hence, the probability of the first card is a heart is

Let B be the event that second card is a diamond without replacement. Then there are 13 diamond cards in the pack but as the cards are not replaced now there are 51 cards in total in the deck. Therefore, the probability of the second card is a red is

Then the probability of getting first is a heart and the second is a diamond card without replacement is

The probability that first is a heart and the second is diamond card without replacement is

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