# Statistics MCQs – Basic probability Part 5

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81. You are given the following: P(A and E) = 0.17, P(Ā and E) = 0.33, P(A and Ē) = 0.20 and P(Ā and Ē) = 0.3. What is P(A|E)?

a. 0.35

b. 0.38

c. 0.33

d. 0.34

e. 0.30

Answer: D

82. You are given the following: P(A and E) = 0.16, P(Ā and E) = 0.32, P(A and Ē) = 0.12 and P(Ā and Ē) = 0.40. What is P(A|E)?

a. 0.35

b. 0.38

c. 0.33

d. 0.34

e. 0.30

Answer: C

83. You are given the following: P(A and B) = 0.17, P(Ā and E) = 0.32, P(A and Ē) = 0.17 and P(Ā and Ē) = 0.34. What is P(E|A)?

a. 0.50

b. 0.57

c. 0.59

d. 0.46

e. 0.42

Answer: A

84. You are given the following: P(A and E) = 0.20, P(Ā and E) = 0.32, P(A and Ē) = 0.15 and P(Ā and Ē) = 0.33. What is P(E|A)?

a. 0.50

b. 0.57

c. 0.59

d. 0.46

e. 0.42

Answer: B

85. You are given the following: P(A and E) = 0.19, P(Ā and E) = 0.38, P(A and Ē) = 0.13 and P(Ā and Ē) = 0.30. What is P(E|A)?

a. 0.50

b. 0.57

c. 0.59

d. 0.46

e. 0.42

Answer: C

86. You are given the following: P(A and E) = 0.17, P(Ā and E) = 0.33, P(A and Ē) = 0.20 and P(Ā and Ē) = 0.3. What is P(E|A)?

a. 0.50

b. 0.57

c. 0.59

d. 0.46

e. 0.42

Answer: D

87. You are given the following: P(A and E) = 0.16, P(Ā and E) = 0.32, P(A and Ē) = 0.12 and P(Ā and Ē) = 0.40. What is P(E|A)?

a. 0.50

b. 0.57

c. 0.59

d. 0.46

e. 0.42

Answer: B

88. You are given the following: P(A and B) = 0.17, P(Ā and E) = 0.32, P(A and Ē) = 0.17 and P(Ā and Ē) = 0.34. What is P(Ā|Ē)?

a. 0.67

b. 0.69

c. 0.70

d. 0.60

e. 0.77

Answer: A

89. You are given the following: P(A and E) = 0.20, P(Ā and E) = 0.32, P(A and Ē) = 0.15 and P(Ā and Ē) = 0.33. What is P(Ā|Ē)?

a. 0.67

b. 0.69

c. 0.70

d. 0.60

e. 0.77

Answer: B

90. You are given the following: P(A and E) = 0.19, P(Ā and E) = 0.38, P(A and Ē) = 0.13 and P(Ā and Ē) = 0.30. What is P(Ā|Ē)?

a. 0.67

b. 0.69

c. 0.70

d. 0.60

e. 0.77

Answer: C

91. You are given the following: P(A and E) = 0.17, P(Ā and E) = 0.33, P(A and Ē) = 0.20 and P(Ā and Ē) = 0.3. What is P(Ā|Ē)?

a. 0.67

b. 0.69

c. 0.70

d. 0.60

e. 0.77

Answer: D

92. You are given the following: P(A and E) = 0.16, P(Ā and E) = 0.32, P(A and Ē) = 0.12 and P(Ā and Ē) = 0.40. What is P(Ā|Ē)?

a. 0.67

b. 0.69

c. 0.70

d. 0.60

e. 0.77

Answer: E

93. You are given the following: P(A and B) = 0.17, P(Ā and E) = 0.32, P(A and Ē) = 0.17 and P(Ā and Ē) = 0.34. What is P(Ā|E)?

a. 0.65

b. 0.62

c. 0.67

d. 0.66

e. 0.77

Answer: A

94. You are given the following: P(A and E) = 0.20, P(Ā and E) = 0.32, P(A and Ē) = 0.15 and P(Ā and Ē) = 0.33. What is P(Ā|E)?

a. 0.65

b. 0.62

c. 0.67

d. 0.66

e. 0.77

Answer: B

95. You are given the following: P(A and E) = 0.19, P(Ā and E) = 0.38, P(A and Ē) = 0.13 and P(Ā and Ē) = 0.30. What is P(Ā|E)?

a. 0.65

b. 0.62

c. 0.67

d. 0.66

e. 0.77

Answer: C

96. You are given the following: P(A and E) = 0.17, P(Ā and E) = 0.33, P(A and Ē) = 0.20 and P(Ā and Ē) = 0.3. What is P(Ā|E)?

a. 0.65

b. 0.62

c. 0.67

d. 0.66

e. 0.77

Answer: D

97. You are given the following: P(A and E) = 0.16, P(Ā and E) = 0.32, P(A and Ē) = 0.12 and P(Ā and Ē) = 0.40. What is P(Ā|E)?

a. 0.65

b. 0.62

c. 0.67

d. 0.66

e. 0.77

Answer: C

98. You are given the following: P(A and B) = 0.17, P(Ā and E) = 0.32, P(A and Ē) = 0.17 and P(Ā and Ē) = 0.34. What is P(Ē|A)?

a. 0.50

b. 0.43

c. 0.41

d. 0.54

e. 0.48

Answer: A

99. You are given the following: P(A and E) = 0.20, P(Ā and E) = 0.32, P(A and Ē) = 0.15 and P(Ā and Ē) = 0.33. What is P(Ē|A)?

a. 0.50

b. 0.43

c. 0.41

d. 0.54

e. 0.48

Answer: B

100. You are given the following: P(A and E) = 0.19, P(Ā and E) = 0.38, P(A and Ē) = 0.13 and P(Ā and Ē) = 0.30. What is P(Ē|A)?

a. 0.50

b. 0.43

c. 0.41

d. 0.54

e. 0.48

Answer: C