Answer:
There are four kings in a standard deck of 52 cards, so the probability of drawing a king is 4/52 or 1/13.
Since we know that the card drawn is a king, there are now only four possible cards that could have been drawn: the king of spades, the king of hearts, the king of clubs, and the king of diamonds.
Out of these four possibilities, only one of them is the king of diamonds. Therefore, the probability that the card is a king of diamonds, given that the card drawn is a king, is 1/4.
In other words, the conditional probability of drawing the king of diamonds given that a king has been drawn is:
P(king of diamonds | king) = P(king of diamonds and king) / P(king) = 1/52 / 4/52 = 1/4
Hope this helps! If not, I'm sorry. Feel free to ask for help from me! :]