Probes connected sine wave with 60 Hz.
Is this just terrible nosie from something or is my Oscilloscope broken ?
Since you're using 10 mV/div, its pretty normal.
High impedance wide bandwidth amplifier input always have pretty high noise power. This is just a property of nature.
Higher impedance = higher noise floor.
Wider bandwidth = higher noise floor.
What sort of electric device can make such Noise if this is Noise.
Such noise is a noise of amplifier with a high impedance input on the oscilloscope frontend.
Any oscilloscope with 1 MΩ input have such noise.
The reason for this noise is high impedance and wide bandwidth of the oscilloscope input.
I am not measuring anything. It is just the probe hanging in the air or laying on the desk.
This is pretty normal.
First, the probe has very high impedance (1-10 MΩ), so it is very sensitive to interferences.
Second, your probe is not connected to anything, so it means that the probe is connected to an air space between probe GND and probe tip. Air impedance is even higher than 1 MΩ, it leads to a higher noise level.
Try to connect the probe to circuit with low impedance, it should reduce the noise.
Also note that short circuit with a long wire (for example 5-10 cm) doesn't means low impedance for RF, because such wire has inductance and it leads to a inductive impedance. At high frequency (like 100 MHz) even a small inductance produce noticeable effect.
For example, if you put your probe ground wire on a probe tip (short circuit) it doesn't means that noise will be reduced. Just because your ground wire forms a loop. Such ground loop works as antenna and can increase noise interference because it will suck electromagnetic noises from environment.
The best way to test your oscilloscope self noise is to disconnect your probe from oscilloscope connector and keep any metal things and your body away from the connector for 0.5-1 meters. In such configuration you can measure noise floor of your oscilloscope. If noise with your probe or other connected circuit is higher than oscilloscope noise floor, then it means that this noise is come from your probe or circuit.
Note: such test with open connector is relevant for 1 MΩ input. If your oscilloscope has 50 Ω input, then you're needs to connect a small size 50 Ω terminator on the input connector for testing.