# Statistics MCQs – Basic probability Part 4

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61. 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 or E)?

a. 0.66

b. 0.67

c. 0.70

d. 0.75

e. 0.60

Answer: C

62. 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 or E)?

a. 0.66

b. 0.67

c. 0.70

d. 0.75

e. 0.60

Answer: E

63. 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 or E)?

a. 0.83

b. 0.85

c. 0.87

d. 0.80

e. 0.88

Answer: A

64. 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 or E)?

a. 0.83

b. 0.85

c. 0.87

d. 0.80

e. 0.88

Answer: B

65. 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 or E)?

a. 0.83

b. 0.85

c. 0.87

d. 0.80

e. 0.88

Answer: C

66. 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 or E)?

a. 0.83

b. 0.85

c. 0.87

d. 0.80

e. 0.88

Answer: D

67. 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 or E)?

a. 0.83

b. 0.85

c. 0.87

d. 0.80

e. 0.88

Answer: E

68. 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(A or Ē)?

a. 0.68

b. 0.72

c. 0.62

d. 0.67

e. 0.61

Answer: A

69. 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(A or Ē)?

a. 0.68

b. 0.72

c. 0.62

d. 0.67

e. 0.61

Answer: A

70. 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(A or Ē)?

a. 0.68

b. 0.72

c. 0.62

d. 0.67

e. 0.61

Answer: C

71. 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 or Ē)?

a. 0.68

b. 0.72

c. 0.62

d. 0.67

e. 0.61

Answer: D

72. 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 or Ē)?

a. 0.68

b. 0.72

c. 0.62

d. 0.67

e. 0.61

Answer: A

73. 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 or Ē)?

a. 0.83

b. 0.80

c. 0.81

d. 0.89

e. 0.84

Answer: A

74. 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 or Ē)?

a. 0.83

b. 0.80

c. 0.81

d. 0.89

e. 0.84

Answer: B

75. 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 or Ē)?

a. 0.83

b. 0.80

c. 0.81

d. 0.89

e. 0.84

Answer: C

76. 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 or Ē)?

a. 0.83

b. 0.80

c. 0.81

d. 0.89

e. 0.84

Answer: A

77. 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 or Ē)?

a. 0.83

b. 0.80

c. 0.81

d. 0.89

e. 0.84

Answer: E

78. 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(A|E)?

a. 0.35

b. 0.38

c. 0.33

d. 0.34

e. 0.30

Answer: A

79. 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(A|E)?

a. 0.35

b. 0.38

c. 0.33

d. 0.34

e. 0.30

Answer: B

80. 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(A|E)?

a. 0.35

b. 0.38

c. 0.33

d. 0.34

e. 0.30

Answer: C