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If P(A)=(2)/(3),P(B)=(1)/(2) and P(A cap...

If `P(A)=(2)/(3),P(B)=(1)/(2) and P(A cap B)=(1)/(6)`, find the value of `P(A cup B), P(A//B), P(B//A), P(A cap B^(c )), P(A^(c ) cap B^(c )) and P(A^(c ) cup B^(c ))`

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The correct Answer is:
`P(A cup B)=1, P(A//B)=(1)/(3), P(B//A)=(1)/(4), P(A^(c ) cap B^(c ))=0, P(A^(c ) cup B^(c ))=(5)/(6)`
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