Mathematics · 2014
JEE Main · 19 April 2014, Shift 1 · Q86
Let A and E be any two events with positive probabilities: Statement - 1: P(E/A) ≥ P ( A / E ) P ( E ) Statement-2: P ( A / E ) ≥ P ( A ∩ E ).
Let A and E be any two events with positive probabilities :Statement - $\displaystyle 1$ : P(E/A) $\displaystyle \geq \mathrm{P}(\mathrm{A} / \mathrm{E}) \mathrm{P}(\mathrm{E})$
Statement-$\displaystyle 2$ : $\displaystyle \mathrm{P}(\mathrm{A} / \mathrm{E}) \geq \mathrm{P}(\mathrm{A} \cap \mathrm{E})$.
Official answer
(1)
Both the statements are true
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JEE Main 2014 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.