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Finite Very Lost

Construct a copy of figure 3.17 in your text, where the first outcome is one of X, Y, and Z, and the second outcome in each case is one of A and B. Use the following probabilities instead of those given in your text:

Pr[X]=1/7
Pr[Y]=3/7
Pr[Z]=3/7
Pr[A|X]=2/5
Pr[B|X]=3/5
Pr[A|Y]=2/3
Pr[B|Y]=1/3
Pr[A|Z]=5/8
Pr[B|Z]=3/8
 
(1) Pr[BlY]=
 
(2) Pr[YlB]= 
 
(3) Pr[(XorY)lB]

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