Let E1 and E2 be two events such that the conditional probabilities $P({E_1}|{E_2}) = {1 \over 2}$, $P({E_2}|{E_1}) = {3 \over 4}$ and $P({E_1} \cap {E_2}) = {1 \over 8}$. Then :

Question

Let E₁ and E₂ be two events such that the conditional probabilities $P({E_1}|{E_2}) = {1 \over 2}$, $P({E_2}|{E_1}) = {3 \over 4}$ and $P({E_1} \cap {E_2}) = {1 \over 8}$. Then :

$P({E_1} \cap {E_2}) = P({E_1})\,.\,P({E_2})$

$P(E{'_1} \cap E{'_2}) = P(E{'_1})\,.\,P(E{_2})$

$P({E_1} \cap E{'_2}) = P({E_1})\,.\,P({E_2})$

$P(E{'_1} \cap {E_2}) = P({E_1})\,.\,P({E_2})$

Solution

Please login to view the detailed solution steps...

Go to DASH