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

If `P(A)=(1)/(3), P(B)=(1)/(2), P(A cap B)=(1)/(4)`, find the values of `P(B^(c )), P(A cap B^(c )), P(A cup B), P(B//A), P(A^(c ) cap B^(c )), P(A cup B^(c ))`.

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The correct Answer is:
`P(B^(c ))=(1)/(2), P(A cap B^(c ))=(1)/(12), P(A cup B)=(7)/(12), P(B//A)=(3)/(4), P(A^(c ) cap B^(c ))=(5)/(12), P(A cup B^(c ))=(3)/(4)`
(i) No (ii) No (iii) No (iv) No
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