Real life cases of probability

Write one of the uses of probability in real life ?

A speaks the truth in 70% cases and B in 80% cases. The probability that they will contradict each other in describing a single event is

A speaks truth in 80% cases and B in 70% cases. The probability that they will contradict each other in a single event is

A speaks truth in 75% of the cases and B in 80% of the cases. Then the probability that their statements about an incident do not match , is

Person (A) speaks truth in 70% of cases and (B) in 80 % of cases. Find the probability of an event that in what percentage of cases are they likely to contradict each other?

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.