Question: Events A, B, and C are defined on sample space S. Their corresponding sets of sample points do not intersect, and their union is S.

Events A, B, and C are defined on sample space S. Their corresponding sets of sample points do not intersect, and their union is S. Furthermore, event B is twice as likely to occur as event A, and event C is twice as likely to occur as event B. Determine the probability of each of the three events.

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