If `P(A cap B)=1//3, P(A cup B)=5//6 " and " P(A)=1//2`, then which one of the following is correct ?A. A and B are independent eventsB. A and B are mutually exclusive eventsC. P(A)=P(B)D. `P(A) lt P(B)`

If `P(A cap B)=1//3, P(A cup B)=5//6 " and " P(A)=1//2`, then which on

1.	If `P(A cap B)=1//3, P(A cup B)=5//6 " and " P(A)=1//2`, then which one of the following is correct ?A. A and B are independent eventsB. A and B are mutually exclusive eventsC. P(A)=P(B)D. `P(A) lt P(B)`
Answer» Correct Answer - A We have, `P(A cup B)=P(A)+P(B)-P(A cap B)` `implies (5)/(6)=(1)/(2)+P(B)-(1)/(3) implies P(B)=(2)/(3)` Clearly, `P(A cap B)=P(A)P(B)` So, A and B are independent events.

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If `P(A cap B)=1//3, P(A cup B)=5//6 " and " P(A)=1//2`, then which one of the following is correct ?A. A and B are independent eventsB. A and B are mutually exclusive eventsC. P(A)=P(B)D. `P(A) lt P(B)`

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