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Probability question

2022 · 25 Jul · Shift 2 · Q28
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  5. /2022 · 25 Jul · Shift 2 · Q28

Probability question

2022 · 25 Jul · Shift 2 · Q28

JEE MainMathematicsProbabilityMCQ+4 / −1
If AAA and BBB are two events such that P(A)=13,P(B)=15P(A)=\frac{1}{3}, P(B)=\frac{1}{5}P(A)=31​,P(B)=51​ and P(A∪B)=12P(A \cup B)=\frac{1}{2}P(A∪B)=21​, then P(A∣B′)+P(B∣A′)P\left(A \mid B^{\prime}\right)+P\left(B \mid A^{\prime}\right)P(A∣B′)+P(B∣A′) is equal to :
  1. A
    34\frac{3}{4}43​
  2. B
    58\frac{5}{8}85​
  3. C
    54\frac{5}{4}45​
  4. D
    78\frac{7}{8}87​
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