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)`

A

`P(A cup B) ge (2)/(3)`

B

`P(A cap barB) le (1)/(3)`

C

`(1)/(6) le P(A cap B) le (1)/(2)`

D

`(1)/(6) le P(barA cap B) le (1)/(2)`

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The correct Answer is:

A, B, C, D

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