Sure, I'll keep playing this game.
1) IF it is a true short to ground, then you will measure zero volts relative to ground. The resistance to ground will be zero ohms, the resistance to the IC supply voltage will be the same as the resistance from ground to the supply voltage.
2) A true open to the output is quite rare, usually only part of the output driving circuit is open. But I will play along with a pure open pin on an IC. If that pin is connected to nothing else in the circuit, and the test equipment you are using is a pure passive test device, then you will measure zero volts. The resistance will be infinite to both the ground and supply rails. If the output is connected to another logic device input pin or to a pull up resistor (like most any device in a working circuit), then the voltage will be somewhere beween 0 and the supply voltage depending on the logic family. This is the same as when you connect it to a logic probe.
3)"Blown" doesn't mean anything definitive. The output is "bad", it "just doesn't work", it "has failed" all mean the same thing. Some or all of the output drive components in the IC are damaged. That may mean it can drive high but not low, or low but not high, or anything in between. I would expect some resistance to ground and to the supply plane, but not a direct short to either.
4) You didn't define where the short was to. A short to ground is a short to ground, regardless of whether it was in a tri-state condition or not. A short to another signal line is completely different (and is sometimes intentional when using tri-state. So without knowing what it is shorted to, I can't tell you what you want to know. Based on your other questions, I will assume you mean a short to ground, and then answer 1 applies.
5) An output in a tri-state condition is approaching an open circuit already. So it is close to answer 2). There is always some impedance to ground an the supply voltage, but it could easily be in the 10's of Megohms and may not be readable by common ohmmeters.
6) As in answer 5, a tri-state output is essentially an open circuit already. So answer 2 applies.
As others have tried to say, you can't know the state of an output by looking at a single static case. You will need to create test conditions and observe what happens. Put a weak pull up on the output and monitor the voltage. Put a strong pull up on the output and watch the voltage. That will help differentiate between dead shorts to ground and the other cases. Better still would be to inject short voltage pulses into the output and watch the frequency response, although this would again depend on what other components are connected to the same output.
It would help us to know what you are really trying to get answered. Is is a quiz question? Do you have a component in a circuit you are trying to test? Are you trying to build a test device? Or are you trying to test a component by itself in a static environment?
JimW