Answer
$\frac{7}{13}$
Work Step by Step
We know that $probability=\frac{\text{number of favourable outcomes}}{\text{number of all outcomes}}$
The total number of cards (the number of all outcomes) is $52$
There are $26$ red cards and $2$ black queens that satisfy the requirements, thus there are $26+2=28$ "good outcomes".
Hence the probability here is: $\frac{28}{52}=\frac{7}{13}$