Construct a copy of figure 3.10 in your text, where the first outcome is one of (A,B,C) and the second outcome in each case is one of (1,2). Use the following probabilities instead of those given in your text:Pr[A]=13Pr[A]=13Pr[A1]=112Pr[A1]=112Pr[A2]=14Pr[A2]=14Pr[1|B]=34Pr[1|B]=34Pr[2|B]=14Pr[2|B]=14Pr[B1]=14Pr[B1]=14Pr[B2]=112Pr[B2]=112Pr[C1]=16Pr[C1]=16Pr[C2]=16Pr[C2]=16 Find the following missing probabilities: (1) Pr[1|A]=Pr[1|A]=  (2) Pr[B]=Pr[B]=  (3) Pr[C]=Pr[C]=  (4) Pr[2|C]=Pr[2|C]=

Question

Construct a copy of figure 3.10 in your text, where the first outcome is one of (A,B,C) and the second outcome in each case is one of (1,2). Use the following probabilities instead of those given in your text:

Pr[A]=13Pr[A]=13
Pr[A1]=112Pr[A1]=112
Pr[A2]=14Pr[A2]=14
Pr[1|B]=34Pr[1|B]=34
Pr[2|B]=14Pr[2|B]=14
Pr[B1]=14Pr[B1]=14
Pr[B2]=112Pr[B2]=112
Pr[C1]=16Pr[C1]=16
Pr[C2]=16Pr[C2]=16

Find the following missing probabilities:

(1) Pr[1|A]=Pr[1|A]=

(2) Pr[B]=Pr[B]=

(3) Pr[C]=Pr[C]=

(4) Pr[2|C]=Pr[2|C]=