Hi PiratePrincess,
There are 26 red cards, 2 of which are queens.
There are 4 queens, 2 of which are red.
There are 2 non-red (black) queens.
The probability is the sum of the probabilities of drawing a red card and the probability of drawing a black queen.
Or it is the probability of drawing a red queen subtracted from the sum of the probability of drawing a red card and the probability of drawing a queen (since both of those contain the probability of drawing a red queen).