SOLUTION: A sample space of an experiment is {A, B, C}. Find the probability of each simple outcome if P(A) = P(B) and P(C) = 3P(A). P(A) = P(B) = P(C) =

Question 1150345: A sample space of an experiment is {A, B, C}. Find the probability of each simple outcome if P(A) = P(B) and P(C) = 3P(A).
P(A) =
P(B) =
P(C) =
Answer by ikleyn(52898) (Show Source): You can put this solution on YOUR website!
.


Let P(A) = x.


Then  P(B) = x  and  P(C) = 3x


Also   P(A) + P(B) + P(C) = 1,  i.e.


    x + x + 3x = 1

    
    5x         = 1

     x         =  = 0.2.


ANSWER.  P(A) = 0.2, P(B) = 0.2, P(C) = 0.6.

Kindergarten level problem.

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