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Worksheets

Sets and Probability

Total questions: 16

Worksheet time: 3hrs 45mins

Name
Class
Date
1.
If every element in set A is also in set B, then...
a)
A is a subset of B
b)
B is a subset of A
c)
A = B
d)
A and B are disjoint
2.
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}
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.
The Universal Set = { -4, 3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.
What is the complement of A?
a)
{-4, -3, -2, -1, 0, 1, 2, 3}
b)
{-3, -2, -1, 1, 2, 3}
c)
{-4, -3, -2, -1, 1, 2, 3, 4}
d)
{-4, -3, -2, -1, 1, 2, 3}
5.
A = {1, 3, 5, 7, 9}
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}
6.
If A = {1, 2, 3, 4, 5, 6} and B = {1, 2, 3, 5, 7, 9} What is A ⋂ B?
a)
{1, 2, 3, 4, 5, 6, 7, 9}
b)
{1, 2, 3, 5}
c)
{4, 6, 7, 9}
d)
{ }
7.

What is the sample space?

a)

6 bears

b)

orange, green, red, white, yellow

c)

unlikely

d)

2 red bears

8.
If you were to roll the die one time what is the probability of it landing on a 2?
a)
2 out of 6
b)
2 out of 2
c)
1 out of 6
d)
1 out of 1
9.

If a letter is drawn randomly from the bag shown, what is the probability that it is the letter N?

a)

2

b)

2/12

c)

2/15

d)

1/7

10.

If a letter is drawn randomly from the bag shown, what is the probability that it is not the letter R?

a)

5

b)

9/14

c)

5/14

d)

1/2

11.
What is the probability of pulling a red marble out of a jar of marbles that have 10 green marbles, 7 red marbles and 3 blue marbles?
a)
1/7
b)
7/20
c)
7/10
d)
3/10
12.
A box contains 3 black pens, 7 blue pens, and 5 red pens. Without looking, P(red or black)
a)
8/15
b)
15/225
c)
5/15
d)
3/15
13.
A number is randomly selected from 0-10. What is the probability the number selected is greater than 5?
a)
1/2
b)
3/5
c)
2/5
d)
5/11
14.
What is the probability of spinning an even number? 
a)
16 2/3%
b)
33 1/3%
c)
50%
d)
75%
15.
What is the probability of drawing a black ace when drawing a card at random from a deck of 52 playing cards?
a)
1/50
b)
1/26
c)
2/39
d)
1/13
16.
What is the probability of the spinner landing on red?
a)
5/12
b)
1/5
c)
5/5
d)
3/5