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Probability question

2020 · 2 Sep · Shift 2 · Q38
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  5. /2020 · 2 Sep · Shift 2 · Q38

Probability question

2020 · 2 Sep · Shift 2 · Q38

JEE MainMathematicsProbabilityMCQ+4 / −1
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(E2C∩E3C/E1E_2^C \cap E_3^C/{E_1}E2C​∩E3C​/E1​) is equal to :
  1. A
    P(E3C)P\left( {E_3^C} \right)P(E3C​) - P(E2)
  2. B
    P(E2C)P\left( {E_2^C} \right)P(E2C​) + P(E3)
  3. C
    P(E3C)P\left( {E_3^C} \right)P(E3C​)-P(E2C)P\left( {E_2^C} \right)P(E2C​)
  4. D
    P(E3) - P(E2C)P\left( {E_2^C} \right)P(E2C​)
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