Let EC denote the complement of an event E. Let E1 , E2 and E3 be any pairwise independent events with P(E1) > 0 and P(E1 $ \cap $ E2 $ \cap $ E3) = 0. Then P($E_2^C \cap E_3^C/{E_1}$) is equal to :

Question

Let E^C denote the complement of an event E. Let E₁ , E₂ and E₃ be any pairwise independent events with P(E₁) > 0

and P(E₁ $ \cap $ E₂ $ \cap $ E₃) = 0.

Then P($E_2^C \cap E_3^C/{E_1}$) is equal to :

$P\left( {E_3^C} \right)$ - P(E₂)

$P\left( {E_2^C} \right)$ + P(E₃)

$P\left( {E_3^C} \right)$ - $P\left( {E_2^C} \right)$

P(E₃) - $P\left( {E_2^C} \right)$

Solution

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