MQO1 Exam Questions 45–50

45. A 10-sided die is rolled in a role-playing game. What is the probability of rolling a number that is a multiple of 2 or greater than 7?

A. 0.7

B. 0.6

C. 0.8

D. 0.5

46. In a city’s public transportation system, the distribution of commuters is: 40% buses, 25% trains, 20% bicycles, 10% walk, 5% other. What is the probability that a randomly selected commuter uses either a bus or a train?

A. 30%

B. 45%

C. 50%

D. 65%

47. A tech company surveys its employees. 55% prefer remote work and 45% prefer office work. Of those preferring office work, 50% report high productivity. Which percentage of employees prefer working in the office and report high productivity?

A. 22.5%

B. 27.5%

C. 45%

D. 50%

48. A school surveyed student participation in extracurricular activities. Drama club: 50%, Science club: 30%, Both: 15%. What is the probability that a student participated in the drama club, given that they attended the science club?

A. 0.15

B. 0.40

C. 0.50

D. 0.75

49. A commuter has a 0.4 probability of taking the bus, 0.4 of driving a car, and 0.2 of cycling. The probability of being late is 0.15, 0.05, and 0.10 respectively. What is the probability of taking the bus and being on time, or driving a car and being on time?

A. 0.28

B. 0.32

C. 0.34

D. 0.72

50. A person has a 0.5 probability of taking a train to work, a 0.3 probability of carpooling, and a 0.2 probability of walking. The probability of being late is 0.2, 0.1, and 0.05 respectively. What is the probability of taking the train and being on time, or walking and being on time?

A. 0.30

B. 0.40

C. 0.45

D. 0.59

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