Consider the Venn diagram below, where P(E1) = P(E2) =

Chapter 3, Problem 31E

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QUESTION:

Problem 31E

Consider the Venn diagram below, where P(E1) = P(E2) = P(E3) = 1/5 , P(E4) = P(E5) = 1/20, P(E6) = 1/10 , and P(E7) = 1/5 .

Find each of the following probabilities:

a. P(A)

b. P(B)

c. P(A B)

d. P(A  B)

e. P(Ac)

f. P(Bc)

g. P(A Ac)

h. P(Ac  B)

Questions & Answers

QUESTION:

Problem 31E

Consider the Venn diagram below, where P(E1) = P(E2) = P(E3) = 1/5 , P(E4) = P(E5) = 1/20, P(E6) = 1/10 , and P(E7) = 1/5 .

Find each of the following probabilities:

a. P(A)

b. P(B)

c. P(A B)

d. P(A  B)

e. P(Ac)

f. P(Bc)

g. P(A Ac)

h. P(Ac  B)

ANSWER:

Solution:

Step 1 of 9:

We have P() = P() = P() = , P() = P() =  , P() =  ,and  P() =  


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