You draw two cards from a well-shuffled deck of 52 cards. After you draw the first card, you do not replace it in the deck. The probability of drawing the ace of diamonds on your first draw is 1/52.
What is the probability of P(get king of clubs on second draw | get ace of diamonds on first draw)?
A. 1/51.
B. 1/26.
C. 2/51.
D. 1/52.
1/51
To find the probability of getting the king of clubs on the second draw, given that you have already drawn the ace of diamonds on the first draw, we first need to determine the number of cards remaining in the deck after the first draw.
When drawing a card from a well-shuffled deck without replacement, the number of remaining cards decreases by one after each draw. Since the ace of diamonds has already been drawn, there are 51 cards remaining in the deck.
Out of these 51 cards, there is only one king of clubs. Therefore, the probability of getting the king of clubs on the second draw, given that you have already drawn the ace of diamonds on the first draw, is 1 out of 51.
Therefore, the correct answer is A. 1/51.