Black box

A circuit with 5 resistors of \(1~\Omega\) 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 \(\frac{5}{3} \Omega\). The equivalent resistance between the points A and C is \(\frac{8}{3}\Omega\). There are two possible equivalent resistances between B and C. One of those resistances is \(1\Omega\). What is the possibility for the other resistance between the points B and C in \(\Omega\)?

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