Let E1 and E2 be the events such that and

Find:


(i)P(E1∪ E2), when E1 and E2 are mutually exclusive.


(ii )P(E1∩ E2), when E1 and E2 are independent


Given: E1 and E2 are two events such that P(E1) = and P(E2) =


To Find: i)P(E1 E2) when E1 and E2 are mutually exclusive.


We know that,


When two events are mutually exclusive P(E1 E2) = 0


Hence, P(E1 E2) = P(E1) + P(E2)


= +


=


Therefore , P(E1 E2) = when E1 and E2 are mutually exclusive.


ii) P(E1 E2) when E1 and E2 are independent.


We know that when E1 and E2 are independent ,


P(E1 E2) = P(E1) P(E2)


=


=


Therefore, P(E1 E2) = when E1 and E2 are independent.


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