Real life cases of probability

X speaks truth in 60% and Y in 50% of the cases. The probability that they contradict each other narrating the same incident is

A man A truth in 70% of the cases while another man B speaks truth in 60% of the cases. Find the probability of an event in which they are agree with on another.

In which of the following case would be probability of finding an electron residing in a d_(xy) orbital be zero ?

A speaks truth in 80% of the cases while B speaks truth in 60% of the cases. Find the probability that they will contradict each other while stating the same fact.

Which of the following is wrong in case of representation of probability in percentage

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.