Name: _____________________________ Period ______
HSS-CP.A.1 WORKSHEET #5
1. Shade the following relationships.
a) P(A and B)
b) P(A and Not B)
c) P(NOT A)
d) P(A or B)
e) P(B)
f) P(Not A and Not B)
g) P(B and Not A)
h) P(A)
2. Place the values in the Venn diagram and determine the missing probability.
a) P(A and B) = 0.5
b) P(A or B) = 0.8
P(A) = 0.7
P(B and Not A) = 0.2
P(A and Not B) = ______
P(A) = ______
c) P(A or B) = 0.7
d) P(A or B) = 0.67
P(A) = 0.53,
P(A and Not B) = 0.31
P(B and Not A) = ______
P(B) = ______
e) P(A or B) = 0.7
f) P(A or B) = 0.54
P(A) = 0.53, P(B) = 0.37
P(A) = 0.41, P(B) = 0.27
P(A and B) = ______
P(A and B) = ______
3. Out of 50 students, 33 are taking AP Calculus and 14 are taking AP World AND not
Calculus. Fill out the Venn diagram with the information and then determine how
many students are not taking either of these classes? __________
4. Out of 50 students, 28 are taking AP Calculus and 19 are taking AP World and 10
are taking both. Fill out the Venn diagram with the information and then determine
how many students are just taking AP Calculus and Not AP World? __________
1
HSS-CP.A.1 WORKSHEET #5
5. In a class of 50 students, 18 take Chorus, 26 take Band, and 2 take both Chorus and
Band. How many students in the class are not enrolled in either Chorus or Band?
6. In a school of 300 students, 90 students are in the band, 185 students are on
sports teams, and 60 students participate in both activities. How many students are
involved in either band or sports?
7. A veterinarian surveys 26 of his patrons. He discovers that 14 have dogs, 10
have cats, and 5 have fish. Four have dogs and cats, 3 have dogs and fish, and
one has a cat and fish. If no one has all three kinds of pets, how many patrons
have none of these pets?
8. From a survey of 100 college students, a marketing research company found
that 75 students owned stereos, 45 owned cars, and 35 owned cars and stereos.
a) How many students owned either a car or a stereo? ___________
b) How many students did not own either a car or a stereo? ____________
9. In a class there are 38 students.
•
•
•
24 students like Math
17 students like English
8 students don't like Math or English
How many students like both Math and English? ___________
10. There are 21 cars at the used car dealership.
•
•
•
12 cars are diesels.
5 cars are automatics.
3 cars are automatic diesels.
How many cars are not automatic and not a diesel? __________
2
H SS-CP.A,
Name:
7 WO RKSH E ET #5
'l
tfuj^y
period
1. Shade the following retationships.
P(A and Not
c) P(Nor A)
P(Not A and Not B)
B
d) P(A or
and Not
2. Place the values in the venn diagram and determine the missing probability.
a) P(A and B) = 9.5
b) P(A or B) = g.g
p.-1
-+
P(A) = 9.7
P(A and Not B)
P(B
= g.-L
P(A) =
c) P(A or B)= 0.7
d) P(A or B) = 9.67
n.7o
P(A) = 9.53
P(B
and Not A)
:li?
P(A and Not B) = 0.3L
o. [T
P(B) =
=
e) P(A or B) = 9.7
P(A) = 0.53, P(B) =
P(Aand Bl=
and Not A) = 0.2
o
'{7
f) P(A or B) = O.s4
*
0.r1,
o.L *
'
P(A) = 0.41, P(B) = 0.27
L.}
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0X
-0"11
P(A and B) =
3' out of 50 students, 33 are taking AP Calculus and 14 are taking Ap
World AND not
calculus. Fill out the venn diagram with the information andlhen
determine how
many students are not taking either of these classes? ft)
_r/
50*t(? -J
ry
4. out of 50 students, 28 are taking AP Calculus and 19 are taking
Ap World and 10
are taking both. Fil! out the Venn diagram with the information
and then determine
how many students are just taking Ap calculus and Not Ap world?
B
H SS.CP.A.
2
7 WO RKSH EET #5
5. ln a class of 50 students, 18 take Chorus, 26 take Band, and2 take both Chorus and
Band. How many students in the class are not enrolled in either Chorus or Band?
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r'L:')
%
qP
fo^
--qry".--g
6. In a school of 300 students, g0 students are in the band, 185 students are on
sports teams, and 60 students participate in both activities. How many students are
involved in either band or sPorts?
7. A veterinarian surveys 25 of his patrons. He discovers that 14 have dogs, 10
have cats, and 5 have fish. Four have dogs and cats,3 have dogs and fish, and
one has a cat and fish. lf no one has allthree kinds of pets, how many patrons
havenoneofthesepets?
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*a-r, {)\z-
8. From a survey of 100 college students, a marketing research company found
that 75 students owned stereos, 45 owned cars, and 35 owned cars and stereos.
a) How many students owned either a car or a stereo?
b) How many students did not own either a car or a stereo?
9. ln a class there are 38
o
o
o
students.
Math
English
24students like
LTstudents like
8 students don't like Math or English
How many students like both Math and
il
.y
' l(
English?
10. There are2L cars at the used car dealership.
o
o
r
L2 cars are diesels.
5 cars are automatics.
3 cars are automatic diesels.
How many cars are not automatic and not a diesel?
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