A, B, C are three events for which P(A) = 0.6, P(B) = 0.4, P(C) = 0.5, P ( ~A ~B )=0.8 …

A, B, C are three events for which P(A) = 0.6, P(B) = 0.4, P(C) = 0.5, \(\mathrm{P}(\mathrm{~A} \cup \mathrm{~B})=0.8\), \(\mathrm{P}(\mathrm{~A} \cap \mathrm{C})=0.3\) and \(\mathrm{P}(\mathrm{~A} \cap \mathrm{~B} \cap \mathrm{C})=0.2\). If \(P(A \cup B \cup C) \geq 0.85\)then the interval of values of \(\mathrm{P}(\mathrm{~B} \cap \mathrm{C})\) is