Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a diamond for the second card drawn, if the first card, drawn without replacement, was a club? Express your answer as a fraction or a decimal number rounded to four decimal places.
When the first card drawn is a club, there are 13 clubs remaining in the deck and 13 diamonds, as there are 13 cards of each suit in a standard deck.
Therefore, the probability of choosing a diamond for the second card, given that the first card drawn was a club, is $13/25 \approx 0.5200$.