A questionnaire asks shareholders of a company to state whether they consider the chairman's salary to be too high, about right, or too low. Excluding shareholders who have no opinion, the probabilities of answers from a randomly selected shareholder are as follows: Too high 0.95 About right 0.03 0.02 Too low What is the probability that if three shareholders are selected at random,

(a) they will all answer 'too high',

(b) exactly two will answer 'too high',

(c) exactly two will give the same answer,

(d) exactly two will answer 'too high' given that exactly two give the same answer? (AEB)