SOLUTION: 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

Question 975260: 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.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The sum of their probabilities equals 1 and they are mutually exclusive.

Then,

and

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