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Probability question

2022 · 28 Jul · Shift 2 · Q34
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  5. /2022 · 28 Jul · Shift 2 · Q34

Probability question

2022 · 28 Jul · Shift 2 · Q34

JEE MainMathematicsProbabilityMCQ+4 / −1
Let A\mathrm{A}A and B\mathrm{B}B be two events such that P(B∣A)=25,P(A∣B)=17P(B \mid A)=\frac{2}{5}, P(A \mid B)=\frac{1}{7}P(B∣A)=52​,P(A∣B)=71​ and P(A∩B)=19⋅P(A \cap B)=\frac{1}{9} \cdotP(A∩B)=91​⋅ Consider (S1) P(A′∪B)=56P\left(A^{\prime} \cup B\right)=\frac{5}{6}P(A′∪B)=65​, (S2) P(A′∩B′)=118P\left(A^{\prime} \cap B^{\prime}\right)=\frac{1}{18}P(A′∩B′)=181​ Then :
  1. A
    Both (S1) and (S2) are true
  2. B
    Both (S1) and (S2) are false
  3. C
    Only (S1) is true
  4. D
    Only (S2) is true
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