This question already has an answer here:
Given the power of the unified Infinity Stones, had Thanos decreed half the universe out of existence without specifying himself as an exclusion?
Could he have accidentally wiped himself out?
The previous 'similar' questions referred to everyone else and not the bearer specifically.
The answer of this seemingly similar question states: "It appears to be determined by the wielder"
But this doesn't answer the question specifically, although it says "...the randomness appears to be true randomness, but this is by conscious design".
But no where do we see Thanos excluding himself from this randomness.
Thus going back to the original question: Could he have accidentally wiped himself out?