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Mathematics · 2014
JEE Main 2014 · 2014-04-06 Offline · Q86
Let A and B be two events such that P (A̅∪̅B̅)=1/6, P ( A ∩ B )=1/4 and P (Ā)=1/4, where Ā stands for the complement of the event A. Then the…
Let A and B be two events such that $\displaystyle \mathrm{P}(\overline{\mathrm{A} \cup \mathrm{B}})=\frac{1}{6}, \quad \mathrm{P}(\mathrm{A} \cap \mathrm{B})=\frac{1}{4} \quad$ and $\displaystyle \mathrm{P}(\overline{\mathrm{A}})=\frac{1}{4}$, where $\displaystyle \overline{\mathrm{A}}$ stands for the complement of the event A. Then the events A and B are :
Official answer
(1)
independent but not equally likely.
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JEE Main 2014 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.