Let A and B two events such that P(\overline{A \cup B})=\frac{1}{6}, P(A \cap B)=\frac{1}{4} and P(\overline{A})=\frac{1}{4}, where \overline{A} stands for complement of event A. Then events A and B are [AIEEE 2005]

Correct Answer is : independent but not equally likely

equally likely and mutually exclusive

equally likely but not independent

independent but not equally likely

mutually exclusive and independent

Probability Part 1

Section: Mathematics

Question : 91 of 100

Marks: +1, -0

Let A and B two events such that P(A∪B)=‌

,P(A∩B)=‌

and P(A)=‌

, where A stands for complement of event A. Then events A and B are

[AIEEE 2005]

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