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Probability Using Venn Diagrams

Total questions: 10

Worksheet time: 8mins

Name
Class
Date
1.

A pizza parlor surveyed 110 customers to determine their favorite pizza topping or combination of toppings. The results are shown below. Find P(Mushrooms). Reduce the fraction.

a)

310\frac{3}{10}

b)

39110\frac{39}{110}

c)

2655\frac{26}{55}

d)

455\frac{4}{55}

2.

A pizza parlor surveyed 110 customers to determine their favorite pizza topping or combination of toppings. The results are shown below. Find P(Sausage and Pepperoni). Reduce the fraction.

a)

455\frac{4}{55}  

b)

9110\frac{9}{110}

c)

655\frac{6}{55}

d)

4155\frac{41}{55}  

3.

A pizza parlor surveyed 110 customers to determine their favorite pizza topping or combination of toppings. The results are shown below. Find P(Mushrooms or Pepperoni).

a)

64110\frac{64}{110}  

b)

73110\frac{73}{110}

c)

82110\frac{82}{110}

d)

12110\frac{12}{110}  

4.

A pizza parlor surveyed 110 customers to determine their favorite pizza topping or combination of toppings. The results are shown below. Find P(not picking any of the toppings). Reduce the fraction.

a)

455\frac{4}{55}  

b)

9110\frac{9}{110}

c)

111\frac{1}{11}

d)

655\frac{6}{55}  

5.
What statement does the shaded region represent
a)
A or B
b)
Not A
c)
A and B
d)
Not B
6.
What statement does the shaded region represent?
a)
A or B
b)
A and B
c)
A
d)
B
7.

If chosen at random, what is the probability of choosing a student who takes a foreign language, given they participate in a sport? (Answer is in reduced form.)

a)

14/27

b)

7/12

c)

23/47

d)

37/47

8.

The Venn diagram shows which sports are played by a class of students. How many students are in the class?

a)

20

b)

25

c)

30

d)

35

9.

The Venn diagram shows which sports are played by a class of students. How many students are taking tennis?

a)

6

b)

11

c)

25

d)

30

10.
How many students do not snowboard?
a)
21
b)
22
c)
28
d)
29