Let A, B and C be three events, which are pair-wise independent and E denotes the completement of an event E. If P(A B C) = 0 and P(C) > 0, then P[ (A B)| C. ] is equal to:

Statistics and Probability: JEE Main 2018 Mathematics question

JEE Main 2018 · 16 Apr, Morning shift · Q4946

JEE Main 201816 Apr, Morning shiftMathematicsMediumStatistics and Probability258× since 2002

Let A, B and C be three events, which are pair-wise independent and

\overrightarrow E

denotes the completement of an event E. If

P\left( {A \cap B \cap C} \right) = 0

and

P\left( C \right) > 0,

then

P\left[ {\left( {\overline A \cap \overline B } \right)\left| C \right.} \right]

is equal to :