(a) Would you expect the probability that a randomly selected car will need major repairs in the next year to be smaller, remain the same, or increase if you are told it already has high mileage? Explain.

(b) Would you expect the probability that a randomly selected senior would know the second law of thermodynamics, to be smaller, remain the same, or increase if the person selected is a mechanical engineering major? Explain.

(c) In Part (a), identify the two events with symbols A and B and the conditional probability of interest.