Black box

A circuit with 5 resistors of 1 Ω1~\Omega is put into a black box, so that we don't know how the resistors are connected. If you measure the equivalent resistance between the points A and B, you get that it's 53Ω\frac{5}{3} \Omega. The equivalent resistance between the points A and C is 83Ω\frac{8}{3}\Omega. There are two possible equivalent resistances between B and C. One of those resistances is 1Ω1\Omega. What is the possibility for the other resistance between the points B and C in Ω\Omega?

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