Maths
A speaks truth in 70% cases and B in 85% cases. In Wa
percen tage of cases are they likely to contradict each other in stating
the same fact.
Homework Answers
P(A)=P [A Speaks truth] =70/100
P(B)=p(B speaks truth )=85/100
P(A')=p( A does not speak truth )=30/100
P(B')=p(B does not speak truth)=15/100
=P(they contradict each other )
=P(A speaks truth and B lies or B speak truth and A lies )
= P( A and B' or B and A')
=P(A)P(B)+P(B)(A')
=(70/100×15/100)+85/100×30/100)=1050/10000+2550/10000=.36
Percentage of cases in which they contradict =.36×100=36%
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