Start with the basics. Every flipping of the pair can produce only four results:
HH
HT
TH
TT
Note that a quarter of the flips should result in two tails. In the short run, we shouldn't be surprised if we get several heads in a row (or tails, same idea), but over the long haul, our outcome should gradually tiptoe toward the theoretical result of:
1/4 flips are both tails.
(1/4) * 120 = 30.