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]=1/2 Pr[A1]=1/4 Pr[A2]=1/4 Pr[1|B]=1/4 Pr[2|B]=3/4 Pr[B1]=12/4 Pr[B2]=1/8 Pr[C1]=1/12 Pr[C2]=1/4 Find the following missing probabilities: 1. Pr[1|A] 2. Pr[B] 3. Pr[C] 4. Pr[2|C]

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 13E
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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]=1/2
Pr[A1]=1/4
Pr[A2]=1/4
Pr[1|B]=1/4
Pr[2|B]=3/4
Pr[B1]=12/4
Pr[B2]=1/8
Pr[C1]=1/12
Pr[C2]=1/4

Find the following missing probabilities:

1. Pr[1|A]

2. Pr[B]

3. Pr[C]

4. Pr[2|C]

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