A circuit has three major components, A, B and C. A component A operates independently of B and C, the components B and C are interdependent.

 A circuit has three major components, A, B and C. A component A operates independently of B and C, the components B and C are interdependent. It is known that the component A works properly 85% of the time, component B 90% of the time and C 95% of the time. However, if component C fails, there is a 75% chance that B will also fail. Assume that at least two parts must operate for the circuit to function. What is the probability that the circuit will work properly?