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 $P\left( E _2^{ C } \cap E _3^{ C } / E _1\right)$ is equal to: [JEE Main 2020, 2 Sep (Shift 2)]

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 $P\left( E _2^{ C } \cap E _3^{ C } / E _1\right)$ is equal to: [JEE Main 2020, 2 Sep (Shift 2)]

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Let \(E^C\) denote the complement of an event \(E\). Let \(E_1\), \(E_2\) and \(E_3\) be any pairwise independent events…

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