Step 1 :The problem is asking for the probability of drawing a black card given that a red card has already been drawn and removed from the deck.
Step 2 :A standard deck of cards has 52 cards: 26 red cards and 26 black cards.
Step 3 :If a red card is drawn and removed, there are now 51 cards left in the deck, but still 26 black cards.
Step 4 :So, the probability of drawing a black card given that a red card has been removed is the number of black cards divided by the total number of cards left in the deck.
Step 5 :\(\frac{26}{51}\) is approximately 0.5098039215686274.
Step 6 :Final Answer: The probability of drawing a black card given that a red card has been removed is \(\boxed{\frac{26}{51}}\) or approximately \(\boxed{0.51}\) when rounded to two decimal places.