Mathematics · 2020
JEE Main · 2 September 2020, Shift 2 · Q68
Let E^C denote the complement of an event E. Let E_1, E_2 and E_3 be any pairwise independent events with P ( E_1)>0 and P ( E_1 ∩ E_2 ∩ E_3)=0. Then…
Let $\displaystyle \mathrm{E}^{\mathrm{C}}$ denote the complement of an event E. Let $\displaystyle \mathrm{E}_1, \mathrm{E}_2$ and $\displaystyle \mathrm{E}_3$ be any pairwise independent events with $\displaystyle \mathrm{P}\left(\mathrm{E}_1\right)>0$ and $\displaystyle \mathrm{P}\left(\mathrm{E}_1 \cap \mathrm{E}_2 \cap \mathrm{E}_3\right)=0$. Then $\displaystyle \mathrm{P}\left(\mathrm{E}_2^{\mathrm{C}} \cap \mathrm{E}_3^{\mathrm{C}} / \mathrm{E}_1\right)$ is equal to :
Official answer
(3)
$\displaystyle \mathrm{P}\left(\mathrm{E}_3^{\mathrm{C}}\right)-\mathrm{P}\left(\mathrm{E}_2\right)$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.