Probability · JEE Main previous year questions

2014 1 question

1. Q172014 · 6 Apr 2014 · Shift 1

   Let $A$ and $B$ be two events such that $P\left(\overline{A\cup B}\right)=\frac{1}{6}$, $P(A\cap B)=\frac{1}{4}$ and $P\left(\overline{A}\right)=\frac{1}{4}$, where $\overline{A}$ stands for the complement of the event $A$. Then the events $A$ and $B$ are :

   1. A.independent but not equally likely.
   2. B.independent and equally likely.
   3. C.mutually exclusive and independent.
   4. D.equally likely but not independent.
   Show answer

   Answer: A