Construct a figure 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 probablietes below and find the missing probabilities.  • Pr[x] = 3/7 • Pr[Y] = 2/7 • Pr [Z] = 2/7 •Pr [A|X]=4/5 •Pr [B|X]= 1/5 • Pr [A|Y] = 1/3 • Pr [B|Y] = 2/3 •Pr [A|Z]= 3/8 • Pr [B|Z]= 5/8 Find the following missing probabilities: 1.) Pr [B|Y] 2.) Pr [Y|B] 3.) Pr [( X or Y)|B]

A First Course in Probability (10th Edition)
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Construct a figure 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 probablietes below and find the missing probabilities. 
• Pr[x] = 3/7

• Pr[Y] = 2/7

• Pr [Z] = 2/7

•Pr [A|X]=4/5

•Pr [B|X]= 1/5

• Pr [A|Y] = 1/3

• Pr [B|Y] = 2/3

•Pr [A|Z]= 3/8

• Pr [B|Z]= 5/8

Find the following missing probabilities:

1.) Pr [B|Y]
2.) Pr [Y|B]
3.) Pr [( X or Y)|B]

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