Real-World Conditional Probability Scenarios for Grade 10

A survey of 100 students shows that 60 like math, 30 like science, and 10 like both. What is the probability that a student likes science given that they like math?

• 1/6

• 1/4

• 1/2

• 1/3

In a class of 40 students, 25 are girls and 15 are boys. If 10 girls and 5 boys play soccer, what is the probability that a randomly selected soccer player is a girl?

• 4/5

• 2/3

• 3/5

• 1/2

A box contains 5 red, 3 blue, and 2 green marbles. If a marble is drawn and it is red, what is the probability that the next marble drawn is also red?

• 5/12

• 1/2

• 4/9

• 3/10

In a city, 70% of the residents own a car, and 40% of car owners also own a motorcycle. What is the probability that a randomly selected resident owns a motorcycle given that they own a car?

• 0.7

• 0.5

• 0.2

• 0.4

A restaurant has 80% of its customers ordering pizza, and 50% of those who order pizza also order a drink. What is the probability that a customer orders a drink given that they ordered pizza?

• 50%

• 90%

• 30%

• 70%

In a school, 40% of students are in the band, and 25% of band members also play a sport. What is the probability that a student plays a sport given that they are in the band?

• 0.40

• 0.50

• 0.25

• 0.10

A factory produces 200 toys, 120 of which are dolls and 80 are action figures. If 30 dolls are defective, what is the probability that a randomly selected defective toy is a doll?

• 1

• 0.5

• 0.25

• 0.15

In a survey, 60% of people prefer coffee, and 20% of coffee drinkers also prefer tea. What is the probability that a person prefers tea given that they prefer coffee?

• 0.30

• 0.50

• 0.10

• 0.20

A deck of cards has 52 cards, with 26 red and 26 black. If a red card is drawn, what is the probability that the next card drawn is also red?

• 26/52

• 1/2

• 25/51

• 24/50

In a group of 50 people, 30 are smokers and 10 of those smokers have a health issue. What is the probability that a randomly selected person with a health issue is a smoker?

• 0.5

• 0.2

• 1

• 0.8