Synchros were made for everyone to use. They're fast and strong, so of course they'll be able to kill one another.
That doesn't necessarily mean you have very low chances with any other card though. Super Poly+E-Heroes, Verz Rabbit has Verz Ophion, Oppression when it comes back, etc can all do it.
Anime Exclusives: Sure
Video Game Exclusives: Sure
God Cards: Whatever floats your boat
First Player: You can
Number of Cards per Deck: this is still stupid.
Other conditions(luck based cards, handicaps, etc.): Non-Random
I'll be using a new deck, but it might seem familiar.