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Days 1-3 Probability Practice

Total questions: 25

Worksheet time: 2hrs 32mins

Name
Class
Date
1.
Determine whether the following scenarios are a permutation or a combination:
 
Selecting a lead and an understudy for a school play.
(a)  
Choose from the below words
Permutation
Combination
2.
Picking a team of three people out of a group of 10.
a)
Permutation
b)
Combination
c)
Neither
3.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

4.

What does this symbol ( ∪ ) represent in set theory?

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

5.
What does this symbol ( ∩ ) represent in set theory?
a)
Union
b)
Intersection
c)
Disjointed
d)
Subset
6.
If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?
a)
{3, 5, 7}
b)
{2, 3, 5, 7}
c)
{2, 3, 5, 7, 9}
d)
{1, 2, 3, 5, 7, 9}
7.

If X={a,b,c}X = \{a, b, c\} and Y={b,c,d,e}Y = \{b, c, d, e\} , find X∩YX \cap Y .

a)

{a,b,c,d,e}\{a, b, c, d, e\}

b)

{b,c}\{b, c\}

c)

{a,d,e}\{a, d, e\}

d)

∅\emptyset

8.

Given U={1,2,3,4,5,6,7,8,9}U = \{1, 2, 3, 4, 5, 6, 7, 8, 9\} and A={2,4,6,8}A = \{2, 4, 6, 8\} , what is A′A' (the complement of AA )?

a)

{1,3,5,7,9}\{1, 3, 5, 7, 9\}

b)

{2,4,6,8}\{2, 4, 6, 8\}

c)

{1,2,3,4,5,6,7,8,9}\{1, 2, 3, 4, 5, 6, 7, 8, 9\}

d)

{3,5,7}\{3, 5, 7\}

9.
What statement does the shaded region represent
a)
A or B
b)
Not A
c)
A and B
d)
Not B
10.
How many senior boys play football or wrestle?
a)
9
b)
21
c)
30
d)
39
11.

How many people own cats?

a)

3

b)

4

c)

6

d)

7

e)

10

12.

How many people only own cats and dogs?

a)

3

b)

4

c)

6

d)

7

e)

9

13.

How many people ONLY own dogs?

a)

3

b)

4

c)

6

d)

7

e)

9

14.
Determine n(W ⋂ C)'.
a)
6
b)
15
c)
54
d)
60
15.

What does this symbol ( A′A'   ) represent in set theory?

a)

n of A

b)

number of elements in set A

c)

element of A

d)

Complement of A

16.

A six-sided number cube has sides labeled 1, 2, 3, 4, 5, and 6. If you roll the cube once, what is the probability of rolling a number bigger than 4?

Type your answer as a fraction (for example, 3/7).

(a)  

17.

You have a set of 12 cards numbered 1 through 12. You choose a card at random. Event A is choosing a number less than 5, and event B is choosing an even number. Calculate P(A).P\left(A\right).  

Type your answer as a fraction (for example, 3/7).

(a)  

18.

The members of Set B are

a)

{8, 10, 13, 17}

b)

{2, 5, 19}

c)

{2, 5, 9, 15, 19}

d)

{8, 9, 10, 13, 15, 17}

19.

P′P'  

a)

{2,4,5,7,8}

b)

{2,4,8}

c)

{1,3,7,5}

d)

{2,6}

20.
What is the probability of flipping a coin and getting tails?
a)
1/2
b)
1/3
c)
1/4
d)
Never, Tails never fails.
21.
Find the probability of rolling greater than a 1 on a single die.
a)
6/6
b)
5/6
c)
4/6
d)
1/6
22.

A bag has 10 marbles. What is the probability of pulling a red?

a)

3/10

b)

3/9

c)

1/9

d)

1/3

23.

If you were to roll the die one time what is the probability of it landing on a 2?

a)

2/6

b)

1

c)

1/6

d)

1/3

24.

5 red sweets, 7 green sweets, and 8 blue sweets are contained in a plastic bag. What is the probability that a sweet will be green or blue if it is randomly chosen from the bag?

a)

1/4

b)

3/4

c)

1/2

d)

2/3

25.
What is P(not Foreign Language)?
a)
10/50
b)
13/50
c)
3/50
d)
14/50