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Q1. Suppose there are 110 children at a school. Suppose that among these 110 children, 51 children have blue eyes, 33 children have blond hair, and 14 children have blue eyes and blond hair. How many children have neither blue eyes nor blond hair? A. 40 B. 26 C. 84 D. 70 E. 96 F. 12

Q1. Suppose there are 110 children at a school. Suppose that among these 110 children, 51 children have blue eyes, 33 children have blond hair, and 14 children have blue eyes and blond hair. How many children have neither blue eyes nor blond hair? A. 40 B. 26 C. 84 D. 70 E. 96 F. 12

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Q1. Suppose there are 110 children at a school. Suppose that among these 110 children, 51 children have blue eyes, 33 children have blond hair, and 14 children have blue eyes and blond hair. How many children have neither blue eyes nor blond hair? A. 40 B. 26 C. 84 D. 70 E. 96 F. 12 Q2. How many numbers, at a minimum, should we choose at random from S = {10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20} in order to guarantee that the difference of two of the chosen numbers is divisible by 4? A. 2 B. 3 C. 4 D. 5 E. 6 F. None of the above
Transcribed Image Text:Q1. Suppose there are 110 children at a school. Suppose that among these 110 children, 51 children have blue eyes, 33 children have blond hair, and 14 children have blue eyes and blond hair. How many children have neither blue eyes nor blond hair? A. 40 B. 26 C. 84 D. 70 E. 96 F. 12 Q2. How many numbers, at a minimum, should we choose at random from S = {10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20} in order to guarantee that the difference of two of the chosen numbers is divisible by 4? A. 2 B. 3 C. 4 D. 5 E. 6 F. None of the above
Q3. Suppose A = {1, 2,3,4}. Which of the following sets is the relation R= {(a, b) | a+b is odd }? A. R = {(1, 1), (1, 2), (1, 3), (1, 4), (2, 2), (2, 4), (3, 3), (4,4)} B. R= = {(1, 2), (1, 3), (1, 4), (2, 4)}} C. R = {(1, 2), (2, 1), (1,3), (3, 1), (1, 4), (4, 1), (2, 4), (4, 2)} D. R = {(1, 1), (1, 2), (1, 3), (1, 4), (2, 4), (3, 3), (4, 4) } E. R = = {(1, 2), (1, 4), (1, 3), (2, 4), (2, 2), (4, 4) } = {(1, 2), (2, 1), (2, 3), (3, 2), (3, 4), (4, 3), (1, 4), (4, 1)} F. R= Q4. Letz and y be propositional variables. Which of the following propositions is not a tautology? A. xx B. (x→y) V (y → x) C. (x^x) D.y → (x V-x) E. x→→x F. (y^-y) → x
Transcribed Image Text:Q3. Suppose A = {1, 2,3,4}. Which of the following sets is the relation R= {(a, b) | a+b is odd }? A. R = {(1, 1), (1, 2), (1, 3), (1, 4), (2, 2), (2, 4), (3, 3), (4,4)} B. R= = {(1, 2), (1, 3), (1, 4), (2, 4)}} C. R = {(1, 2), (2, 1), (1,3), (3, 1), (1, 4), (4, 1), (2, 4), (4, 2)} D. R = {(1, 1), (1, 2), (1, 3), (1, 4), (2, 4), (3, 3), (4, 4) } E. R = = {(1, 2), (1, 4), (1, 3), (2, 4), (2, 2), (4, 4) } = {(1, 2), (2, 1), (2, 3), (3, 2), (3, 4), (4, 3), (1, 4), (4, 1)} F. R= Q4. Letz and y be propositional variables. Which of the following propositions is not a tautology? A. xx B. (x→y) V (y → x) C. (x^x) D.y → (x V-x) E. x→→x F. (y^-y) → x
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