It's bad logic to use an abnormal thing going wrong as an example of why that abnormal thing is bad.
Gay couple down the street broke up yesterday? Gay relationships never last.
Trans girl is depressed but your cis daughter totally isn't? Being trans is a mistake.
That black guy at work got fired after a positive drug test? Blacks shouldn't work in xyz industry or whatever.
I don't know what fallacy it is, but every single time I see the argument, it's just phobes/misics making excuses to justify their opinions. They don't investigate why it happened. Otherwise, they'd know one of the gay guys had a history of domestic violence due to an untreated mental illness, the trans girl's dad verbally abused her, and the black guy got slipped some drugs at a party.
These are the problems we should be fixing, not making up problems because we want them to be problems. They also tend to do no or shitty introspection. They'll be on their second divorce and think their two exes are the problem (which it could be, but they don't accept the possibility of it being otherwise).
ひげ
@beardalaxy
The problem is that correlation doesn't equal causation, and also cherry picking happens a lot.
If you happen to know of... let's say five gay couples that break up, but your friend knows ten that have been married for at least ten years, then that suggests they're more likely to succeed than fail. Without that extra info, you may suppose that gay relationships are likely to fail.
Statistics can only tell you when factors line up. They can't tell you why things happen, or which ones cause it, unless you ask the right questions and cross reference. Statistics are incredibly easy to misrepresent.