Statements in terms of probability

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Suppose that A, B and C are events in a sample space S, such that:

  • A and B are equally likely;
  • C is four times as likely as B;
  • B and C are independent;
  • if either B or C occurs, then A cannot occur;
  • at least one of A, B or C must occur.

(i) Write the above statements as formal statements about the events A, B and C, either in terms of probabilities.

(ii) Hence derive P(A), P(B) and P(C).

I am having trouble expressing the statements in terms of probability and how would you find these probabilities from the information given?

Reference no: EM132139729

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