Question 1: In a class of 30 students, 12 like basketball, 15 like football, and 5 like both. If a student is chosen at random, what is the probability they like neither sport? Show your working.

Answer: 0.2

Question 2: A survey shows that 70% of people own a smartphone, and 50% own a tablet. If 20% own both, what is the probability that a person owns either a smartphone or a tablet?

Answer: 0.8

Question 3: A Venn diagram shows that 40% of employees work in department A, 35% in department B, and 10% work in both. What is the probability that an employee works in department A only?

Answer: 0.3

Question 4: In a box of marbles, 60% are red, 25% are blue, and 10% are both red and blue (overlapping). If a marble is drawn at random, what is the probability that it is neither red nor blue? Show your working.

Answer: 0.05

Question 5: Calculate the probability that a randomly selected student from a school of 200 students plays either basketball or tennis, given that 80 play basketball, 60 play tennis, and 20 play both.

Answer: 0.7

Question 6: A company finds that 40% of employees are trained in software A, 30% in software B, and 10% in both. What is the probability that an employee is trained in neither software?

Answer: 0.2

Question 7: A survey indicates that 80% of people like tea, 65% like coffee, and 50% like both. What is the probability that a randomly chosen person likes either tea or coffee?

Answer: 0.95

Question 8: In a group of 50 students, 20 like reading books, 15 like playing sports, and 8 like both. What is the probability that a student likes neither reading nor sports?

Answer: 0.34

Question 9: A factory has 100 light bulbs: 10 are defective, and 5 are both defective and from a specific batch. Calculate the probability that a bulb is non-defective or not from the specific batch.

Answer: 0.84

Question 10: A marketing study shows that 60% of customers buy product A, 45% buy product B, and 20% buy both. What proportion of customers buy at least one of the products?

Answer: 0.85