A speaks truth in `70%` of the cases and B in `80%` of the cases. In what percent of cases are they likely to agree in stating the fact ? Do you think, when they agree mean both are speaking truth ?

A speaks truth in 75% of the cases. While B in 90% of the cases. In what percent of cases are they likely to contradict each other in stating in the same fact? Do you think that statement of B is true?

A speaks truth in 75% and B in 80% of the cases. In what percentage of cases are they likely to contradict each other in narrating the same incident?

A speaks truth in 60% of the cases, while B in 90% of the cases. In what percentage are they likely to contradict each other in stating the same fact? In the case of contradiction do you think , the statement of B will carry more weight as he speaks truth in more number of case than A?

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

In which of the following case do you think the long-term effects on your health are likely to be most unpleasant ?

A and B are two independent witnesses (i.e., there is no collision between them) in a case. The probability that A will speak the truth is x and the probability that B will speak the truth is y. A and B agree in a certain statement. Show that the probability that the statement is true is (xy)/(1-x-y+2xy) .

The choice of a reducing agent in a particular case depends on thermodynamic factor. How far do you agree with this statement? Support your opinion with two examples.