#5 Modules 4-1 to 4-3

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Modules 4-1 to 4-3: Chapters 11 and 12 Question 1: Suppose we roll two fair six-sided dice. What is the probability that the sum of two numbers is seven? (a) 11/36 (b) 12/36 (c) 13/36 (d) 1/6 (e) 1/3

Question 2: A sample of size 2 is drawn at random and with replacement from the set {1, 2, 3, 4, 5}. What is the probability that the sum of two numbers is an even number? (a) 11/25 (b) 12/25 (c) 1/5 (d) 2/5 (e) 13/25

Question 3: A sample of size 3 is drawn at random and without replacement from the set {1, 2, 3, 4, 5}. What is the probability that the range of the sample is equal to 3? (a) 1/5 (b) 24/125 (c) 2/10 (d) 3/10 (e) 2/5

Question 4: Consider a special die with P(1) = P(3) = P(5) = 1/9 and P(2) = P(4) = P(6) = 2/9. If we roll this die, what is the probability that the number is a prime number? (a) 3/9 (b) 4/9 (c) 5/9 (d) 1/2 (e) 1/3

Question 5: Suppose it is known that 23% of countries are classified as large, 19% of countries are classified as developed and 17% of countries are classified as both large and developed. What is the probability that a country selected at random is classified as large or developed? (a) 0.37 (b) 0.49 (c) 0.40 (d) 0.42 (e) 0.25

Question 6: Suppose the probability that an American has traveled to Canada is 0.38, to Mexico is 0.27, and to both countries is 0.05. What is the probability that an America selected at random has not traveled to either country? (a) 0.40 (b) 9.45 (c) 0.50 (d) 0.60 (e) 0.65

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