Wow, this game is... Great <3
It's a little random at first, but here are some tips to tip (pun intended) the scale in your favour:
1. Passing is an option - if you really don't know, where the vampire is, it can be quite usefully to just ditch the try and get certain 3 blood (×multiplier)
2. Square-help has an interesting mechanic, where it always tries to land in a place, where there are the most cards. Why is that usefully? Well... If you have this situation: (X - discovered, O - undiscovered)
OOO
OOX
XXX
Then, if the top-right corner is he vampire, the square will show you the top-right square. But if it's ANYTHING other, it will ALWAYS show the left-top square (because there are 4 cards instead of 3). So you can use that to your advantage
3. The number tokens have a strange affinity to set themselves to the exact number that there actually is below it. Now, don't take this for granted (I had a few rounds ruined by this thinking). But I actually won more round by doing it, so I guess it's usefull.
4. Play big - this game geniuely treats you really easily. Losing doesn't hurt as much as winning does give you, so (if you're not at the brink of death), you should take SOME risk. But remember about tip 1 XD.
5. Have fun! C'mon, that's why you play, right ;)
Btw, to the devs, if they read this (don't expect that, but hey - let me say some tips): the game is great, though it lacks some features (fe. Difficulty settings). Also, the next vampires don't feel better, they just feel QUICKER (as they give you blood quicker). In my opinion, it'd be interesting if some vampires would give different row abilities, or there'd be some modifications, because for now the game is pretty repetitive. That being said, I'be been playing it for 2+ hours, and I love it!
Small edit: I have a 3-win streak, I think I should stop playing this game, as it shows my gambling addiction too well XD