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Probability question

2018 · 16 Apr · Shift 1 · Q42
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  5. /2018 · 16 Apr · Shift 1 · Q42

Probability question

2018 · 16 Apr · Shift 1 · Q42

JEE MainMathematicsProbabilityMCQ+4 / −1
Let A, B and C be three events, which are pair-wise independent and E→\overrightarrow EE denotes the completement of an event E. If P(A∩B∩C)=0P\left( {A \cap B \cap C} \right) = 0P(A∩B∩C)=0 and P(C)>0,P\left( C \right) \gt 0,P(C)>0, then P[(A‾∩B‾)∣C]P\left[ {\left( {\overline A \cap \overline B } \right)\left| C \right.} \right]P[(A∩B)∣C] is equal to :
  1. A
    P(A‾)−P(B)P\left( {\overline A } \right) - P\left( B \right)P(A)−P(B)
  2. B
    P(A)+P(B‾)P\left( A \right) + P\left( {\overline B } \right)P(A)+P(B)
  3. C
    P(A‾)−P(B‾)P\left( {\overline A } \right) - P\left( {\overline B } \right)P(A)−P(B)
  4. D
    P(A‾)+P(B‾)P\left( {\overline A } \right) + P\left( {\overline B } \right)P(A)+P(B)
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