Let \( P(E) \) denote the probability of occurrence of event \( E \). If \( A \) and \( B \) are... VIDEO
Let \( P(E) \) denote the probability of occurrence of event \( E \). If \( A \) and \( B \) are two events associated with an experiment such that \( \left|\begin{array}{ccc}P(A)-1 & P(B) & -P(A \cap B) \\ P(B) & -P(A \cap B) & P(A)-1 \\ -P(A \cap B) & P(A)-1 & P(B)\end{array}\right|=0 \), then
(a) \( P(A \cup B)=1 \)
(b) \( P(A / B)=\frac{P(A)+P(B)-1}{P(B)} \)
(c) If \( A \cup B \) then \( P(B)=\mathrm{P}(A \cup B) \)
(d) If \( A \subset B \) then \( P(A)=1 \)
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