Two cards are drawn from a standard deck of cards, and one of the two cards is noted and removed. Find the probability of the second card, given the information about the removed card provided. (Enter the probability as a fraction.)
\[
P \text { (black|red) }
\]
Answer
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.
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.
