SOLUTION: A random experiment has sample space S ={a, b, c}. Suppose that P[{a, c}] = 5/8 and P[{b, c}] = 7/8. Use the axioms of probability to find the probabilities of elementary even
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Question 363454: A random experiment has sample space S ={a, b, c}. Suppose that P[{a, c}] = 5/8 and P[{b, c}] = 7/8. Use the axioms of probability to find the probabilities of elementary events.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
P[{a,b,c}] = P[{a,c}] + P[{b,c}] - P[{c}]. Thus - P[{c}]. Hence P[{c}] = 1/2. Now P[{a,c}] = P[{a}] + P[{c}], so P[{a}] = 1/8. Finally, P[{b}] = .
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