If $A$ and $B$ are any two events such that $P(\overline{A \cup B})=\frac{1}{6}, P(A \cap B)=\frac{1}{4}$…

If $A$ and $B$ are any two events such that $P(\overline{A \cup B})=\frac{1}{6}, P(A \cap B)=\frac{1}{4}$ and $P(\bar{A})=\frac{1}{4}$, then the events $A$ and $B$ are
  1. Equally likely but not independent
  2. Equally likely and mutually exclusive
  3. Mutually exclusive and independent
  4. Independent but not equally likely

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (25 Apr Shift 2)

Practice more Probability questions on Aicharya