Analog temp probes come in 3 flavors: thermocouple, thermistor and RTD. You cannot interchange between these as they require different circuitry to measure them. Furthermore there are different varieties of each of the three flavors. Thermocouples have a calibration letter like K, J or T. Thermistors and RTDs are specified by their resistance at 25C like a 10K thermistor or PT100 RTD. In addition to all this thermistors are non linear so not all 10K thermistors have the same curve.
So not all temp probes are interchangeable. Ou have to know what type of probe you have so that you can buy the same thing. Some controllers can use multiple types of probes by switching jumpers inside the case to change from one probe to another. If you bought a cheap Chinese controller you may not have the option to switch the probe type.