Step 1 :The problem is asking for the conditional probability of drawing a queen given that the card drawn is red. In a standard deck of 52 cards, there are 26 red cards (13 hearts and 13 diamonds). Among these 26 red cards, there are 2 queens (one queen of hearts and one queen of diamonds).
Step 2 :So, the probability of drawing a queen given that the card is red is 2 out of 26.
Step 3 :Simplify the fraction 2/26 to get the final answer.
Step 4 :\(\boxed{\frac{1}{13}}\)