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Probability question

2020 · 6 Sep · Shift 2 · Q33
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  5. /2020 · 6 Sep · Shift 2 · Q33

Probability question

2020 · 6 Sep · Shift 2 · Q33

JEE MainMathematicsProbabilityMCQ+4 / −1
The probabilities of three events A, B and C are given by P(A) = 0.6, P(B) = 0.4 and P(C) = 0.5. If P(A ∪\cup∪ B) = 0.8, P(A ∩\cap∩ C) = 0.3, P(A ∩\cap∩ B ∩\cap∩ C) = 0.2, P(B ∩\cap∩ C) = β\betaβ and P(A ∪\cup∪ B ∪\cup∪ C) = α\alphaα, where 0.85 ≤α≤\le \alpha \le≤α≤ 0.95, then β\betaβ lies in the interval :
  1. A
    [0.35, 0.36]
  2. B
    [0.20, 0.25]
  3. C
    [0.25, 0.35]
  4. D
    [0.36, 0.40]
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