A fair coin and a fair die (six sides) are tossed simultaneously with neither affecting the outcome of the other. Give probabilities for the following events using the principle of equal likelihood:
(a) A head and a six;
(b) A tail and a one or a two;
(c) A tail or a head and a four;
(d) A head and a number less than a five;
(e) A tail or a head and a number greater than a four;
(f) A tail and a number greater than a six.