HSS-CP.A.1 WORKSHEET #6 – PATTERSON Name: 1 1. In a bag
HSS-CP.A.1 WORKSHEET #6 – PATTERSON
Name: ______________________________
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 = ________
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HSS-CP.A.1 WORKSHEET #6 – PATTERSON
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
c) P (A or B) = P (A
B) = _____
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
c) P (A or B) = P (A
B) = _____
B) = _____
d) P (Not B) = P (BC) = _____
e) P (Not A and Not B) = P (AC
Event X = (2, 3, 5, 7, 11}
BC) = _____
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 – PATTERSON
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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}
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