A six-faced die is loaded in such a way that an even number is three times as likely to occur as an odd number. (The die is no longer `fair'.)
(a) If C is the event that an odd number occurs on a single toss of the die, nd P(C).
(b) If E is the event that a number less than 4 occurs on a single toss of the die, nd P(E).
(c) Let A be the event that an even number turns up on a single toss of the die and let B be the event that a number divisible by 3 occurs on a single toss of the die. Find P(A \ B), P(A [ B),P(A [ B0) and P(A \ B0), where B0 denotes the complement event of B.