The probability that A speaks truth is 5 4 , while this probability for B is 4 3 . The probability that they contradict each other when asked to speak on a fact is

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MathematicsProbabilityConditional probabilityMedium2 minPYQ_2004

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The probability that A speaks truth is $\frac{4}{5}$ , while this probability for $B$ is $\frac{3}{4}$ . The probability that they contradict each other when asked to speak on a fact is

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$E_{1}$ : event denoting that $A$ speaks truth $E_{2}$ : event denoting that $B$ speaks truth Probability that both contradicts each other $= P (E_{1} \cap \overset{ˉ}{E}_{2}) + P (\overset{ˉ}{E}_{1} \cap E_{2}) = \frac{4}{5} \cdot \frac{1}{4} + \frac{1}{5} \cdot \frac{3}{4} = \frac{7}{20}$

Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:Conditional probability

⏱ 2mℹ️ Source: PYQ_2004

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