The probability of A having committed a crime is 35%. B is a friend of A and will lie to help A at a probability of 25%, if A is guilty, or say the truth is A is innocent. C hates A and will lie to hurt A if A is innocent, at a probability of 30%, or say the truth is A is guilty. What is the probability that the statements of B and C contradict each other?
Scenario of guilty + scenario of innocent = (.35*.25*1)+(.65*1*.3)=0.2825