Pokémon
Drowzee x2
Hypno x2
Jynx x2
Flabébé x2
Floette x2
Florges x2
Trainers
Sabrina x2
Leaf x1
X Speed x1
Poké Ball x2
Professor's Research x2
Strategy
I am beginning to realize that in PTGCP, I am a control player. I think it's a result of the crazy number of options for ramping that Ex decks have available to them, plus the fact that most control cards will only give up one point when you kill them. So I stall for time while I set up to murder your Ex and win with 2 KO's while I make you fish for 3. Does it always work? No. Does it feel leaps and bounds better than losing because your opponent killed your Charizard Ex and leapfrogged from 1-2 to 3-2? Yes. Yes it does.
This deck is really, really straightforward. Put the enemy pokémon to sleep. Then, kill it.
Flabébé can be used in a pinch at game start to set up the sleep cycle if you have trouble establishing one or both Hypno. But ideally, you get at least one Hypno up early and can focus on evolving your Flabébé up to Florges for fighting, or alternatively getting your Jynx ready to sweep their ramped Ex if appropriate. Either way, make sure they catch some Z's before you catch the W.