Let Eᶜ denote the complement of an event... | Probability

JEE MAIN 2020

02-09-2020 S2

Question

Let $E^C$ denote the complement of an event $E$. Let $E_1, E_2$ and $E_3$ be any pairwise independent events with $P\left(E_1\right)>0$ and $P\left(E_1 \cap E_2 \cap E_3\right)=0$. Then $\mathrm{P}\left(\mathrm{E}_2^{\mathrm{C}} \cap \mathrm{E}_3^{\mathrm{C}} / \mathrm{E}_1\right)$ is equal to :

Select the correct option:

$P\left(E_3^c\right)-P\left(E_2^c\right)$

$P\left(E_2^c\right)+P\left(E_3\right)$

$P\left(E_3\right)-P\left(E_2^c\right)$

$P\left(E_3^c\right)-P\left(E_2\right)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution