Hello!
Assuming that there are no jokers, we have a number out of 52. First of all there are only two cards in the deck that are spades that are greater than four and less than 7; the 5 and 6 of spades. This gives us the probability below.
[tex] \frac{2}{52} = \frac{1}{26} [/tex], which is about 3.8%.
I hope this helps!