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An experment has as outcomes the positive integers: S = {1,2, ....} However we are only interested in the events A.- for 1: = 2, 4 where A..- is the event that the outcome is a multiple of 1:.
(a) Find a family of events that includes A: and A, by listing all events in the family. {The number of events need not be greater than 1'3.)
(b) Construct (i.e. make up} a valid probability measure on the constructed family. That is make up a probability for each event in the family. [This probability measure must satisfy the axioms of probability.)
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