Which fallacy does this statement contain? if you don't support the lakers, you must be a bulls fan. 1. post hoc, ergo propter hoc 2. red herring 3. false dilemma 4. slippery slope

The correct option is 3) “false dilemma”. We can say this statement contains a false dilemma fallacy since it gives only two options, it is either this or that, meaning if you don't support the Lakers the only other option you have is to be a Bulls fan and it does take into account all other possible teams.

Option 1 is incorrect since post hoc, ergo propter hoc fallacy assumes that if B happened is because A took place first and not always an event happens as a consequence of another.

Option 2 is incorrect since red herring fallacy happens when attempting to redirect the argument from its original one.

Option 4 is also incorrect since Slippery slope occurs when a minor events is thought to bring about major consequences.  

a.) it provides a clue to solve the mystery.

tending to cause harm