Quiz about Venn diagrams and probability

Question 1

Find the probability of getting a red shape.

Accepted Answer

$$\frac{5}{9}$$

Answer

$$\frac{3}{9}$$

Answer

$$\frac{1}{3}$$

Question 2

The venn diagram shows which sports are played by a class of students.

What is the probability of a student playing both tennis soccer?

Accepted Answer

1/6

Answer

5

Answer

20

Answer

2/3

Question 3

The venn diagram shows which sports are played by a class of students.

What is the probability of a student playing tennis or soccer?

Accepted Answer

2/3

Answer

1/6

Answer

5

Answer

20

Question 4

The venn diagram shows the number of people in a group of friends who have brown hair and green eyes.

What is the probability of a friend having brown hair?

Accepted Answer

4/11

Answer

3

Answer

1

Answer

4

Question 5

The venn diagram shows the number of people in a group of friends who have brown hair and green eyes.

What is the probability of a friend having both brown hair and green eyes?

Accepted Answer

6/11

Answer

7/11

Answer

5/11

Answer

3/11

Question 6

The venn diagram shows the number of students in chorus, band, and/or orchestra.

What is the probability that a student is in both chorus and band?

Accepted Answer

9/70

Answer

9/54

Answer

9/37

Answer

5/54

Question 7

The venn diagram shows the number of students in chorus, band, and/or orchestra.

What is the probability that a student is in the chorus but not the orchestra?

Accepted Answer

14/70

Answer

10/70

Answer

14/50

Answer

10/50

Question 8

A pizza parlor surveyed 110 customers to determine their favorite pizza topping or combination of toppings. The results are shown below. Find P(Mushrooms). Write your answer as a fraction in simplest form.

Accepted Answer

$$\frac{3}{10}$$

Answer

$$\frac{39}{110}$$

Answer

$$\frac{26}{55}$$

Answer

$$\frac{4}{55}$$

Question 9

In a class of 50 students, each of the students passed either a math test or science test, or both. 10 students passed both and 28 passed the science test. Find how many students passed math only?

Accepted Answer

22

Answer

32

Answer

12

Question 10

In a class of 50 students, each of the students passed either a math test or science test, or both. 10 students passed both and 28 passed the science test. Find how many students passed only science test?

Accepted Answer

18

Answer

28

Answer

38

Venn diagrams and probability

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