NIMCET 2013 Question Paper with solutions

Atal speak truth in 70% cases
So. probability of Atal speak truth is$\frac{70}{100}$i.e. $\frac{7}{10}$
Similarly,
Probability of George speak truth is 40/100 i.e. 4/10.
As per the given condition, they are likely to contradict each other m stating the same fact only when one will speak truth.
∴ Required probability $=\frac{7}{10}\times \frac{4}{10}+\frac{3}{10}\times \frac{6}{10}$
$=\frac{28}{100}+\frac{18}{100}=\frac{28+18}{100}=\frac{46}{100}=\frac{23}{50}$