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Can two events be mutually exclusive and...

Can two events be mutually exclusive and independent simultaneously ?

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Let A and B be two events such that p( bar (AuuB))=1/6, p(AnnB)=1/4 and p( bar A)=1/4 , where bar A stands for the complement of the event A. Then the events A and B are (1) mutually exclusive and independent (2) equally likely but not independent (3) independent but not equally likely (4) independent and equally likely

Given P(A)=0.4 and P(A uu B)=0.7 . Find P(B) if (i) A and B are mutually exclusive (ii) A and B are independent events (iii) P(A//B)=0.4 (iv) P(B//A)=0.5

Given P(A)=0.4 and P(AuuB)=0.7 . Find P(B) if (i) A and B are mutually exclusive (ii) A and B are independent events (iii) P(A//B)=0.4, (iv) P(B//A)=0.5

Given P(A)=0.4 and P(AcupB)=0.7 . Find P(B)if (i)A and B are mutually exclusive, (ii)A and B are independent events, (iii) P(A//B)=0.4 , (iv) P(A//B)=0.5 . P(A)=0.4,P(AcupB)=0.7,P(B)= ?

If A and B are mutually exclusive events, then

Let A,B,C be any three mutually exclusive and exhaustive events such that P(B)=(3)/(2)P(A) and P(C)=(1)/(2)P(B) . Find P(A) .

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Three coins tossed. Describe. (i) Two events which are mutually exclusive. (ii) Three events which are mutully exclusive and exhaustive. (iii) Two events, which are not mutually exclusive. (iv) Two events which are mutually exclusive but not exhaustive. (v) Three event which are mutually exclusive but not exhaustive.

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If the events A and B are mutually exclusive events such that P(A) = (3x + 1)/(3) and P(B) = (1 - x)/(4) , then the set of possible real values of x lies in the interval