The probabilities of events, \( A \cap B, A, B \& A \cup B \) are respectively in A.P. with seco....

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The probabilities of events, \( A \cap B, A, B \& A \cup B \) are
\( \mathrm{P} \)
respectively in A.P. with second term equal to the common difference. Therefore \( A \& B \) are :
(1) mutually exclusive
(2) independent
(3) such that one of them must occur
(4) such that one is twice as likely as the other


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