Conditional Probability: Venn Diagrams in Real Scenarios

Quiz
•
English, Mathematics
•
10th Grade
•
Hard
Anthony Clark
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A school has 200 students, 120 of whom play soccer and 80 play basketball. If a student is chosen at random, what is the probability that they play basketball given that they play soccer?
x / 120, where x is the number of students who play both soccer and basketball.
x / 200, where x is the number of students who play soccer only.
x / 120, where x is the total number of students in the school.
x / 80, where x is the number of students who play both soccer and basketball.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a survey, 60% of people prefer coffee, and 30% of those who prefer coffee also prefer tea. What is the probability that a randomly selected person prefers tea given that they prefer coffee?
20%
50%
40%
30%
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A company found that 70% of its employees are satisfied with their jobs. Among those satisfied, 40% are also likely to recommend the company to others. What is the probability that an employee will recommend the company given that they are satisfied?
0.4
0.7
0.2
0.5
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a class of 30 students, 18 are girls and 12 are boys. If a student is selected at random, what is the probability that the student is a boy given that the student is not a girl?
3
1
0.5
2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A restaurant offers two types of desserts: cakes and ice creams. 40% of customers order cakes, and 25% of those who order cakes also order coffee. What is the probability that a customer orders coffee given that they ordered a cake?
0.50
0.40
0.10
0.25
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a city, 40% of the population owns a car, and 10% of car owners also own a motorcycle. What is the probability that a randomly selected person owns a motorcycle given that they own a car?
10%
20%
5%
15%
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A survey shows that 50% of teenagers use social media, and 20% of those who use social media also play video games. What is the probability that a teenager plays video games given that they use social media?
0.20
0.50
0.30
0.10
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