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.

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