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Chapter 4 revision - Grade 10

Total questions: 98

Worksheet time: 5hrs 2mins

Name
Class
Date
1.
How many outcomes are there with tossing a coin and rolling a dice?
a)
2
b)
6
c)
12
d)
24
2.

What is the sample space?

a)

6 bears

b)

orange, green, red, white, yellow

c)

unlikely

d)

2 red bears

3.
How many outcomes when choosing a vowel (a, e, i, o, u) and then a number (2 or 6)?
a)
7
b)
5
c)
10
d)
12
4.
What is the probability of rolling 15 with a pair of dice?
a)
impossible
b)
unlikely
c)
equally likely
d)
likely
5.
How many total outfit options are represented?
a)
12
b)
22
c)
3
6.
How many outcomes are there with tossing a coin and rolling a dice?
a)
2
b)
6
c)
12
d)
24
7.
Tree Diagram
a)
A written list of all possible outcomes
b)
A description of all possible outcomes
c)
A drawing with branches of all possible outcomes
8.
What is the experimental probability of not landing on blue?
a)
25/25
b)
7/8
c)
1/8
d)
0/25
9.
How do you write 0.02 as a percent?
a)
20%
b)
200%
c)
2%
d)
.02%
10.
Experimental Probability is:
a)
What will happen
b)
What actually happened
c)
What should happen
d)
What I think will happen
11.
The chance of an event happening is called... 
a)
Event
b)
Result
c)
Outcome
d)
Probability
12.
The set of all the possible outcomes is called:
a)
Result
b)
Sample Space
c)
Probability
d)
Event
13.
A bag has 3 red marbles, 2 blue and 4 green and 1 yellow. What is the theoretical probability of pulling a red?
a)
30%
b)
3/9
c)
1/4
d)
25%
14.
Theoretical Probability is?
a)
What Should happen
b)
What does happen
c)
What Will Happen
d)
What I want to Happen
15.
What is the probability of spinning and landing on green?
a)
3/12
b)
1/4
c)
3/4
d)
9/12
16.
Sample space is defined as...
a)
the likelihood of an event occurring.
b)
a diagram of all possible outcomes.
c)
the probability of an event.
d)
a list of all possible outcomes.
17.

Neil tossed a 6-sided die 90 times. The results of his tosses are recorded in the table below: Which number has the experimental probability of 13/90?

a)

1

b)

2

c)

3

d)

4

e)

5

18.

Shannon has a bag of jelly beans. She removed one jelly bean, recording the color, and then replaced it. She repeated the process 44 times and record her results in the table. What is the experimental probability of her selecting a red jelly bean?

a)
b)
c)
d)
19.

The experimental probability that Jonah will catch a fly ball is equal to 7/8. About what percent of the time will Jonah catch a fly ball?

a)

55%

b)

66%

c)

77%

d)

88%

20.
How many outcomes when choosing a vowel (a, e, i, o, u) and then a number (2 or 6)?
a)
7
b)
5
c)
10
d)
12
21.
How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?
a)
15
b)
40
c)
80
d)
10
22.
List the possible outcomes in the sample space for flipping a coin.  
a)
heads
b)
tails
c)
heads and tails
d)
1,2,3,4,5,6
23.

A bag has 2 blue, 3 red, and 5 yellow tiles. What is the probability of not picking a red tile?

a)

3

b)

3/10

c)

3/7

d)

7/10

24.
What is the probability of rolling a cube and having it land as a six?
a)
1/6
b)
5/6
c)
1/3
d)
1/2
25.

Find the probability of rolling a 7 on a single die.

a)

1/6

b)

7/6

c)

0

d)

7/7

26.

Experimental Probability is:

a)

What Will happen

b)

What actually happens

c)

What should happen

d)

What I think Happens

27.

Rolling a 15 on a number cube is

a)

Impossible

b)

Certain

c)

Unlikely

d)

Equally Likely

28.

Probability is ...

a)

the chance that some event will occur.

b)

a game that involves coins.

c)

a guarantee.

29.

What is the probability of selecting a grape piece?

a)

3 out of 3

b)

3 out of 9

c)

3 out of 12

d)

4 out of 12

30.

The chart below represents the number of marbles in a jar.

P(green) =

a)

5/19

b)

10/28

c)

5/14

31.

What is the probability of flipping a coin and getting heads?

a)

1/2

b)

1/3

c)

1/4

d)

Never, Tails never fails.

32.

What is the probability of selecting a cherry piece of candy?

a)

3 out of 12

b)

3 out of 3

c)

3 out of 9

d)

4 out of 10

33.

Given a standard die, what is the probability of rolling a prime number?

a)

50%

b)

20%

c)

25%

d)

75%

34.

There are 4 blue marbles, 5 red marbles and 1 green marble in a bag. If one marble is chosen, what is the probability of getting an orange marble?

a)

1/3

b)

15%

c)

5/12

d)

0

35.

What is the probability of getting an Ace from a standard deck of card?

a)

10%

b)

4

c)

1/13

d)

40%

36.

A card is drawn randomly from a standard deck. Find the probability of drawing a non-face card.

a)

12/52

b)

16/52

c)

10/13

d)

52/40

37.

Find the probability of getting a numbered card when a card is drawn from the pack of 52 cards

a)

10/13

b)

15/26

c)

9/13

d)

21/26

38.

A committee has 8 female and 12 male members. What is the probability of choosing a female as the president?

a)

75%

b)

40%

c)

15%

d)

60%

39.

There are 45 students in a class, 25 are boys. If a student is selected, what is the probability of selecting a boy?

a)

5/9

b)

4/9

c)

20/45

d)

5/15

40.

Compute P (not A).

a)

6/8

b)

2/8

c)

3/4

d)

1/4

41.

There are 15 girls and 15 boys in a class. If Terry randomly selects a partner, what is the probability that she will select a boy?

a)

15/45

b)

15/15

c)

1

d)

1/2

42.

In scrabble, 2 of the 100 tiles are blank. What is the probability of drawing a blank tile from an entire set of scrabble? (Remember to simplify your answer)

a)

2/50

b)

2/100

c)

1/50

d)

1/100

43.

Given a standard die, what is the probability of rolling a prime number?

a)

50%

b)

20%

c)

25%

d)

75%

44.

There are 4 blue marbles, 5 red marbles and 1 green marble in a bag. If one marble is chosen, what is the probability of getting an orange marble?

a)

1/3

b)

15%

c)

5/12

d)

0

45.

What is the probability of getting an Ace from a standard deck of card?

a)

10%

b)

4

c)

1/13

d)

40%

46.

A card is drawn randomly from a standard deck. Find the probability of drawing a non-face card.

a)

12/52

b)

16/52

c)

10/13

d)

52/40

47.

Find the probability of getting a numbered card when a card is drawn from the pack of 52 cards

a)

10/13

b)

15/26

c)

9/13

d)

21/26

48.

A committee has 8 female and 12 male members. What is the probability of choosing a female as the president?

a)

75%

b)

40%

c)

15%

d)

60%

49.

There are 45 students in a class, 25 are boys. If a student is selected, what is the probability of selecting a boy?

a)

5/9

b)

4/9

c)

20/45

d)

5/15

50.

Compute P (not A).

a)

6/8

b)

2/8

c)

3/4

d)

1/4

51.

There are 15 girls and 15 boys in a class. If Terry randomly selects a partner, what is the probability that she will select a boy?

a)

15/45

b)

15/15

c)

1

d)

1/2

52.

In scrabble, 2 of the 100 tiles are blank. What is the probability of drawing a blank tile from an entire set of scrabble? (Remember to simplify your answer)

a)

2/50

b)

2/100

c)

1/50

d)

1/100

53.
Find the number of batting orders for 9 players.
a)
362,880
b)
1
c)
81
d)
72
54.
9 runners are racing. In how many ways can they come in 1st, 2nd and 3rd place?
a)
362,880
b)
9
c)
308
d)
504
55.
How many senior boys play football and wrestle?
a)
9
b)
12
c)
18
d)
39
56.
How many students took the survey?
a)
32
b)
47
c)
53
d)
56
57.
How many students do not snowboard?
a)
21
b)
22
c)
28
d)
29
58.
What does the shaded portion of the Venn diagram represent?
a)
Not p
b)
p
c)
p and q
d)
p or q
59.
What does the shaded portion of the Venn diagram represent?
a)
Not p
b)
p or q
c)
p and q
d)
Not q
60.

Lisa has 10 pairs of slacks, 5 blouses, 2 jackets, 8 pairs of dress shoes, and 3 necklaces. How many possible interview outfits consisting of one of each can she choose from?

a)

4,000

b)

28

c)

2,400

d)

1,200

61.

How many total have no cell phone?

a)

13

b)

9

c)

22

d)

100

62.

How many total people were surveyed?

a)

78

b)

22

c)

70

d)

100

63.

How many total did not attend the school play?

a)

63

b)

15

c)

78

d)

221

64.

How many attended the basketball game but did not attend the school play?

a)

63

b)

55

c)

118

d)

88

65.

How many total have an MP3 player?

a)

13

b)

57

c)

70

d)

100

66.

Martha has to choose an after school activity. She can select between two sports, five clubs and three art classes. How many options does Martha have?

a)

30

b)

10

c)

5

d)

13

67.

How many ways can I choose five people to be president, vice president, secretaty, treasurer, and special rep from a class of 28?

a)

11,793,600

b)

98,280

c)

0

d)

5/28

68.
One internet site requires you to create a password consisting of 2 letters followed by 4 digits.  The digits may not be repeated.  How many different passwords can be created?
a)
6760000
b)
3276000
c)
92
d)
3407040
69.
One bank assigns each customer an 8 digit account number.  The number 0 can not be used as the first digit.  The last digit must be even.  How many account numbers can be created?
a)
45000000
b)
100000000
c)
90000000
d)
16777216
70.
What is the coefficient of a6b2 in the expansion of (a + b)8?
 
a)
10
b)
56
c)
6720
d)
8
71.
Michael has 12 DVDs in a box:  8 comedies and 4 horror.  The probability of Michael reaching his hand into the box and randomly selecting 2 comedies can be written as....
a)
C(8,2) / C(12,2)
b)
C(4,2) / C(8,4)
c)
C(8,2) / C(12,8)
d)
C(8,2) / C(4,2)
72.
What is the coefficient of a5b8 in the expansion of (a + b)13?
a)
56
b)
1287
c)
13
d)
51891840
73.
In a certain card game, only the number cards (from 2 - 10) are used.  Therefore, the entire deck of cards consists of only 36 cards.  Each player is dealt 6 cards.  How many different 6-card hands are possible, assuming the same 6 cards in different orders are counted as different hands?
a)
216
b)
2176782336
c)
1402410240
d)
1947792
74.
In the expansion of (a + b)14, what term would have the same coefficient as a4b10?
a)
a7b7
b)
a10b4
c)
a8b6
d)
1001
75.
4 children from the same family are all getting their hair cut by the same barber.  How many different arrangements are possible for the children to see the barber?
a)
16
b)
256
c)
1
d)
24
76.
Tricia wants to place her 10 DVDs on a shelf. How many arrangements are there for her DVDs?
a)
100
b)
3628800
c)
1
d)
10
77.
Jackie wants to select 4 of her 12 books to bring with her on vacation.  In how many ways can Jackie make her selection?
a)
48
b)
11880
c)
495
d)
24
78.
What does 10P5 mean?
a)
Permutations with 5 choices and 10 positions
b)
Permutations with 10 choices and 5 positions
c)
Permutations with 5 numbers and 10 operations
d)
Permutations with 5 hot dogs and 10 drinks
79.
What does the P stand for in nPr?
a)
Partners
b)
Positions
c)
Papers
d)
Permutations
80.
What is the formula for Permutations?
a)
n!
b)
n!∕(n-r)!
c)
n!∕(n-r)! r!
d)
r!∕(r-n)! n!
81.
What is the formula for Combinations?
a)
n!∕(n-r)! r!
b)
n!∕(n-r)!
c)
r!∕(r-n)! n!
d)
n!
82.
What is the value of 8!
a)
40320
b)
36
c)
362880
d)
5040
83.
 6!
a)
120
b)
720
c)
5040
d)
40320
84.
13C0
a)
0
b)
1
c)
13
d)
26
85.
25C1
a)
25
b)
50
c)
300
d)
230
86.
14C14
a)
0
b)
1
c)
14
d)
196
87.
How many ways can two jellybeans be chosen from a bag of 15 unique jellybeans. 
a)
15C2=105
b)
15P2=210
c)
15 x 2 = 30
d)
100 ways
88.
How many ways ways can you arrange the letters in the word math?
a)
15
b)
4
c)
24
89.
12P4
a)
24
b)
132
c)
1320
d)
11880
90.
12C3
a)
0
b)
1
c)
220
d)
1140
91.
15C2
a)
15
b)
105
c)
455
d)
1365
92.
20P2
a)
20
b)
380
c)
6840
d)
116280
93.
Eva has eight glasses of water.  In how many different orders can the glasses of water be arranged?
a)
8
b)
64
c)
8!
d)
56
94.

Find the number of words, with or without meaning, that can be formed with the letters of the word ‘CHAIR’.

a)

5

b)

3125

c)

120

d)

25

95.
How many ways can you arrange 2 letters from the word
S Q U A R E?
a)
30
b)
140
c)
320
d)
45
96.

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

a)

15

b)

40

c)

80

d)

10

97.
How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?
a)
90
b)
100
c)
12
d)
24
98.
Permutation, combination, or neither?
There are 45 applicants for three Computer Programmer job positions.
a)
combination
b)
permutation
c)
neither

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