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In a Family, the Husband Tells a Lie in 30% Cases and the Wife in 35% Cases. Find the Probability that Both Contradict Each Other on the Same Fact. - Mathematics

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Question

In a family, the husband tells a lie in 30% cases and the wife in 35% cases. Find the probability that both contradict each other on the same fact.

 

Solution

It is given that the husband lies in 30% of the cases, while the wife lies in 35% cases

P( both will contradict each other on the same fact )=P( husband lies but wife tells the truth )+P( wife lies buthusband tells the truth )
=0.3×(10.35)+(10.3)×0.35
=0.3×0.65+0.7×0.35
=0.195+0.245
=0.44

=44%

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Chapter 31: Probability - Exercise 31.5 [Page 69]

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RD Sharma Mathematics [English] Class 12
Chapter 31 Probability
Exercise 31.5 | Q 13 | Page 69

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