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The probabilities of three events A, B, ...

The probabilities of three events A, B, and C are P(A) = 0.6, P(B) = 0.4, and P(C ) = 0.5. If `P(A uu B)` = 0.8, `P(A nn C) = 0.3`, `P(A nn B nn C) = 0.2`, and `P(A uu B uu C) ge 0.85`, then find the range of `P(B nn C)`.

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