HSS-CP.A.1 WORKSHEET #6
Name: ______________________________ Period ______
1. In a bag of marbles there are 3 blue, 5 red and 12 yellow. Set U is the bag of marbles.
a) P(Blue) = ______
b) P(Red or Yellow) = ____
Shade P(Blue)
Shade P(Red or Yellow)
c) P (Red)c = _______
d) P (Green)c = ______
Shade P(Not Red)
Shade P(Green)c
2. You roll a six sided die (D6) once. Set U is the outcomes of a single roll of the D6 = {1, 2, 3, 4, 5, 6}.
Event P = {2, 3, 5)
Event O = (1, 3, 5)
a) Create the Venn Diagram
P (P and O) = ________
P (P or O) = ________
Shade P (P and O)
Event G = (1, 6)
Event H = (1, 3, 6}
b) Create the Venn Diagram
P (G and H) = ________
P (G or H) = ________
Shade P (G or H)
Event M = (3, 4)
Event H = (3, 4, 5, 6}
c) Create the Venn Diagram
P (M and H) = ________
P (M or H) = ________
Shade P (M or H)c
Event R = (1)
Event T = (5, 6}
d) Create the Venn Diagram
P (R and T) = ________
P (R or T) = ________
Shade P (T or R)c
P (R or T)c = ________
1
HSS-CP.A.1 WORKSHEET #6
Event X = (1, 2)
2
Event Y = (2, 3, 4)
Event Z = (6)
e) Create the Venn Diagram
P (X and Y) = ________
P (X or Y) = ________
Shade P (X or Y)c
P (Y and Z) = ________
3. Create the Venn diagram. If U, the Universal Set, represents the outcomes of rolling a D12.
Event A = Factors of 12 = {
}
Even B = Factors of 8 = {
a) P (A) = _____
b) P (A and B) = P (A ∩ B) = _____
c) P (A or B) = P (A ∪ B) = _____
d) P (Not B) = P (BC) = _____
e) P (Not A and Not B) = P (AC ∩ BC) = _____
Event A = Even Numbers
Event B = {2, 3, 4, 5, 6, 7}
a) P (A) = _____
b) P (A and B) = P (A ∩ B) = _____
c) P (A or B) = P (A ∪ B) = _____
d) P (Not B) = P (BC) = _____
e) P (Not A and Not B) = P (AC ∩ BC) = _____
Event X = (2, 3, 5, 7, 11}
Event Y = (5, 7, 9, 11}
f) P (Y) = _____
g) P (X and Y) = P (X ∩ Y) = _____
h) P (X and Z) = P (X ∩ Z) = _____
i) P (Not X) = P (XC) = _____
j) P (Y or Z) = P (Y ∪ Z) = _____
Event Z = (2, 4, 6, 8, 10, 12}
}
HSS-CP.A.1 WORKSHEET #6
3
4. Create the Venn diagram. If U, the Universal Set, represents the outcomes of a set of 10 cards numbered
1 to 10. You choose a card at random.
Event A = Numbers less than 7 = {
a) P (A) = _____
b) P (BC) = _____
c) P (A ∩ B) = _____
d) P (A ∪ C) = _____
e) P (A ∩ C) = _____
f) P (A ∩ B) C = _____
g) P (A ∩ B ∩ C) = _____
g) P (A ∪ B ∪ C) = _____
}
Event B = odd #’s = {
} Event C = {5, 10}
t/
1
HSS-CP.A.
W O RKSH E ET
tuame: ?W
#6
1. ln a bag of marbles there are 3 blue, 5 red and 12 yellow. Set U is the
u@r
= k,
a) P(Brue)
ac}
Shade P(Blue)
c) P(Red)c
@:4
= *,
b) P(Red or Yellow)
period
bag of marbles.
16\
\*-/
=
Shade P(Red or Yellow)
e)(J
u /t'\
\*J
d) P (Green)'=
e)q)
",/*
Shade P(Not Red)
,/---\
Shade P(Green)'
2. You roll a six sided die (D6) once. Set U is the outcomes of a single roll of the D6 = lL,2, g, 4,5,61.
Event p = {2, 3, 5)
Evente=(1,3,5)
a) Create the Venn Diagram
P (P and o7
=
&/r,
P(PorO)
v/b
=
Shade P (P and O)
EventG=(1,G)
Event H = (1, 3, 6)
u
b) Create the Venn Diagram
P(GandH)=-
P (G
or H)=
Shade P (G or H)
Event
gyl
= (3,4)
Event H = (3, 4,5, 6l
c) Create the Venn Diagram
P (M and
u)
nl
= */b
P (M
or
r
,l = '{/f,
b
Shade P (M or H)c
Event R = (1)
Eventl=(5,6)
d) Create the Venn Diagram
P(RandT)=-
P(RorT)
Shade P (T or R)'
P(RorT)c=
=
u
HSS-CP.A.I INORKSHEET #6
Event 1= (1,
Event y = (2,3,41 Event Z = (6)
2)
e) Create the Venn-Diagram
P(Xand
l/b
Y=
Shade P (X or
P (X
=
P(YandZ)=
Y)c
lf
U,
the Universal Set, represents the outcomes of rolling
i
EventA=Factorsof]12={
EvenB=FactorsofS=t
il
=-
a) P(A)
,l
,la
Create the Venn diagram.
3.
or vl
2Y{to
b)
P(AandB)=P(AAB)
c)
P(AorB)=
=
P(AuB)=-
d) P (Not B) = P (Bc) =
- Bc) =
ttt' l'1
e) P (Not A and Not B) = P (Ac
Event A = Even
a) P (A)
b)
c)
rf,h#6r,,
6
1
=:rt,
1I
P(AandB)=P(AnB)
P(AorB)= P(Au
d) P(NotB) =P(B') =
=
7Z-
X=12,3,5,7,LL!
=_
g)
P(XandY)=P(XnY)=
h) P(XandZ) =P(X
nZl=
i) P (Not X) = P (Xt) =
orZl=
A
Bc) =
3/r,
Event Y = (5,7,9,LLI
Event Z =
tl
P (Y)
P (Y
IL
!l!2
f)
j)
(a
Bl--1lL
e) P (Not A and Not B) = P (Ac
Event
ru"n, B = {2, 3, 4,s, 6,71
P (Y
u
z)=
12,
4, 6, 8, LO, Lzl,
}
HSS.CP,A.7 WORKSHEET
#6
3
4. Create the venn diagram. !f u, the universal set, represents the outcomes of a set of 10
cards numbered
1to 10. You choose a card at random.
EventA = Numbers less than 7 = { t1L1|fi,{pl
alP (A)
=
b) P(Bc)=
b/fo
f)
c)=
lL
P(ArtB)c=_
s)P(AnBn cl= {fP
g)P (A rJ B
u
1^
(rV
d)P(AuC)=
n
ft=l( i,fl
_
c)P(AnB)= 3fio
e)P (A
EventB=odd
C)=
7,
?
) EventC=t5,
10)