What happens when a single electron meets a junction with equal resistance?

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righteous818
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A conductor carrying a single electron directly in the centre meets a junction in which the the resistance are equal and are of 1 ohm, using knowledge of the various circuit characteristic laws, explain what would be the the potential across the branches


since from my knowledge since the resistance is equal in both channels is the likely hood of the electron passing through one of them is 50 50 or just that no current will flow, I am a bit confused
 
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Current in conductors is not the ordered motion of single electrons. If that is the exact problem statement, it does not make sense.
 
Also note that it is impossible to say which wire the electron will go through, regardless of the resistance.