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The probabilities of three events \( \mathrm{A}, \mathrm{B} \) and \( \mathrm{C} \) are
\( \mathrm{P} \) given by \( \mathrm{P}(\mathrm{A})=0.6, \mathrm{P}(\mathrm{B})=0.4 \) and \( \mathrm{P}(\mathrm{C})=0.5 \). If

W \( \mathrm{P}(\mathrm{A} \cup \mathrm{B})=0.8, \mathrm{P}(\mathrm{A} \cap \mathrm{C})=0.3, \mathrm{P}(\mathrm{A} \cap \mathrm{B} \cap \mathrm{C})=0.2 \), \( \mathrm{P}(\mathrm{B} \cap \mathrm{C})=\beta \) and \( \mathrm{P}(\mathrm{A} \cup \mathrm{B} \cup \mathrm{C})=\alpha \), where \( 0.85 \leq \) \( \alpha \leq 0.95 \), then \( \beta \) lies in the interval.
(1) \( [0.35,0.36] \)
(2) \( [0.20,0.25] \)
(3) \( [0.25,0.35] \)
(4) \( [0.36,0.40] \)
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