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Step-by-step explanation:
p(A)+ p(B)+p(C) =1
p(A) +3/2p(A) +1/2p(B) =1
5/2p(A) +(1/2)(3/2)p(A) =1
5/2p(A) +3/4p(A) =1
13/4p(A) =1
p(A) =4/13
p(B) =(3/2)(4/13) =12/26 =6/13
p(c) =1/2p(B) =1/2(6/13) =6/26=3/13
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