Understanding Conditional Probability and Data

What is P(not sport | Foreign language)?

• 23/37

• 14/23

• 14/37

• 3/23

In a class, 60% of students like mathematics, 50% like science, and 30% like both subjects. What is the probability that a student likes science given that they like mathematics?

• 0.3

• 0.5

• 0.6

• 0.8

In a survey, 40% of people own a car, 30% own a bike, and 10% own both. What is the probability that a person owns a bike given that they own a car?

• 0.25

• 0.3

• 0.4

• 0.5

A two-way table shows the number of students who prefer tea or coffee. If 25 students prefer both, 30 prefer only tea, 20 prefer only coffee, and 15 prefer neither, what is the probability that a student prefers coffee given that they prefer tea?

• 0.45

• 0.55

• 0.6

• 0.4

In a class, 70% of students play football, 40% play basketball, and 20% play both. What is the probability that a student plays basketball given that they play football?

• 0.28

• 0.57

• 0.29

• 0.33

A two-way table shows the number of students who like apples or bananas. If 18 students like both, 22 like only apples, 15 like only bananas, and 10 like neither, what is the probability that a student likes bananas given that they like apples?

• 0.45

• 0.55

• 0.6

• 0.4

In a survey, 50% of people have a pet dog, 30% have a pet cat, and 15% have both. What is the probability that a person has a pet cat given that they have a pet dog?

• 0.3

• 0.5

• 0.6

• 0.4

What is the probability that the person picked will be a boy given they speak german? 

• .7273
• .4
• .16
• .22

What is the probability that they speak French given they are a girl? 

• 2.14
• .24
• .4
• .8571

What is the probability that a student does play a sport given they do not play an instrument? 

• .2
• .2222
• .10
• .5