If A and B are two events such that P(A)...

If A and B are two events such that P(A) = `(1)/(2)` and P(B) = `(2)/(3)`, then show that
(a) `P(Auu B) ge (2)/(3) (b) (1)/(6) le P(A nn B) le (1)/(2)`
(c ) `P(A nn barB) le (1)/(3) (d) (1)/(6) le P(barAnn B) le (1)/(2)`

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