It is given that the events A and B are such that P ( A ) = 4 1 , P ( B A ) = 2 1 and P ( A B ) = 3 2 . Then P ( B ) is

P ( B ) P ( A ∩ B ) = 2 1 , P ( A ) P ( A ∩ B ) = 3 2 Hence P ( B ) P ( A ) = 4 3 . ( But P ( A ) = 1/4 ) ⇒ P ( B ) = 3 1 .

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Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityGeneral (Event SS, Definitions, Odd against/Favour)Easy2 minPYQ_2008

MathematicsEasysingle choice

It is given that the events $A$ and $B$ are such that $P (A) = \frac{1}{4}, P (\frac{A}{B}) = \frac{1}{2}$ and $P (\frac{B}{A}) = \frac{2}{3}$ . Then $P (B)$ is

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Solution:

$\frac{P ( A \cap B )}{P ( B )} = \frac{1}{2}, \frac{P ( A \cap B )}{P ( A )} = \frac{2}{3} Hence \frac{P ( A )}{P ( B )} = \frac{3}{4} . (But P (A) = 1/4) \Rightarrow P (B) = \frac{1}{3} .$

Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:General (Event SS, Definitions, Odd against/Favour)

⏱ 2mℹ️ Source: PYQ_2008

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