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Final Probability Review

Total questions: 55

Worksheet time: 3hrs 38mins

Name
Class
Date
1.

Rolling a six on a 6 sided cube and then rolling an odd number

a)

1/12

b)

3/4

c)

1/8

d)

2/9

2.

Find the probability of flipping a heads on a coin, and then getting the color yellow on a spinner with 6 colors.

a)

1/12

b)

2/9

c)

3/7

d)

7/19

3.
What is the probability of rolling a 2 on a dice AND pulling a spade out of a deck of cards?
a)
1 ⁄ 10
b)
1 ⁄ 12
c)
1 ⁄ 24
d)
1 ⁄ 6
4.

Gerald has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Gerald spins red on the spinner and picks a red marble out of the bag?

a)

1 ⁄ 16

b)

1 ⁄ 2

c)

1 ⁄ 4

d)

1 ⁄ 8

5.
What is the probability of rolling a dice and landing on a 4, and then rolling the dice again and landing on any even number?
a)
1 ⁄ 6
b)
1 ⁄ 8
c)
1 ⁄ 2
d)
1 ⁄ 12
6.

You have the spinner pictured and spin it twice in a row. What is the probability that you land on blue and then on either yellow or green?

a)

1 / 16

b)

1 ⁄ 6

c)

1 ⁄ 8

d)

3 ⁄ 4

7.

Connor has a deck of cards(52 cards) and a bag of marbles with 4 red, 6 blue, 3 green, and 2 yellow marbles. What is the probability that he draws a 7 out of the deck of cards and then pulls a blue marble out of the bag?

a)
3 ⁄ 15
b)
2 ⁄ 65
c)
7 ⁄ 52
d)
14 ⁄ 260
8.
There are 10 balloons in total, inside 4 of them is a piece of candy.what is the probability of choosing a random balloon that does not have a candy in it?
a)
1/2
b)
2/5
c)
3/5
d)
4/10
9.

Two marbles are drawn from a container in such a way that the first marble drawn is replaced before selecting the second marble. Does the outcome of the first draw affect the outcome of the second?

a)

Yes

b)

No

10.
What is the probability of rolling an even number on the first roll of a number cube and rolling an odd number on the second roll?
a)
1/4
b)
1
c)
1/8
d)
1/2
11.
Find the probability of: P(A and not 2)
a)
1/12
b)
1/6
c)
1/2
12.
Find the probability of: P(A and 2)
a)
1/12
b)
1/24
13.
Find the probability of: P(D and 1)
a)
1/12
b)
1/24
c)
1/8
14.
To find the probability you of an INDEPENDENT event... 
a)
Find the probability of event #1
b)
Find the probability of event #2
c)
Add the probability of both event #1 & event #2
d)
Multiply the probability of both event #1 & event #2
15.
What is the probability of tossing a coin four times and getting tails each time?
a)
1/16
b)
1/8
c)
1/2
d)
1/4
16.
Suppose a number cube is rolled twice. What is the probability that an odd number will show both times?
a)
1/3
b)
1/2
c)
1/6
d)
1/4
17.
Ten cards numbered 1-10 are placed in a hat. What is the probability of randomly drawing a card with an even number then a card with a number greater than or equal to five if the first card is replaced?
a)
1/4
b)
2/3
c)
3/10
d)
3/5
18.
Suppose two tiles are drawn from the collection shown. The first tile is replaced before the second tile is drawn. Find P(A and A)
a)
4/225
b)
1/100
c)
1/5
19.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
20.
What is the probability of spinning red?
a)
0
b)
5/12
c)
1/2
d)
3/4
21.
What is the probability of selecting an orange candy?
a)
0%
b)
25%
c)
50%
d)
100%
22.
The chart below represents the number of marbles in a jar.
P(green) = 
a)
5/19
b)
10/28
c)
5/14
23.
Experimental Probability is:
a)
What Will happen 
b)
What actually happens
c)
What should happen
d)
What I think Happens
24.
Rolling a 15 on a number cube is 
a)
Impossible
b)
Certain
c)
Unlikely
d)
Equally Likely
25.

Carmyn chooses a colored marble from a mixed bag and writes down the color. Carmyn leaves it out and then draws another.

a)

Independent

b)

Dependent

26.

Kade picks a marble at random. Without putting the first marble back, he picks a second marble at random.

a)

Independent

b)

Dependent

27.
Allie downloads a song from an online service. A few minutes later, a customer in another city searches for a song on the same site.
a)
Dependent
b)
Independent
28.
Reid picks a card at random. Without putting the first card back, he picks a second card at random.
a)
Dependent
b)
Independent
29.
Which event is not a dependent event?
a)
Picking 2 students to each be line leader and door holder from a group of 20 students
b)
Picking 2 marbles from a bag without replacing the first marble
c)
Picking 2 crayons from a box at the same time (simultaneously) 
d)
Picking an earring, replacing it, then picking a 2nd earring
30.
You flip a nickel three times.
Find the probability that all flips will land on tails.
a)
1/2
b)
1/4
c)
1/6
d)
1/8
31.
If the odds of being born on each day of the week is equal, what is the probability of two separate babies both being born on a school day? (Monday through Friday)
a)
5/7
b)
5/14
c)
25/49
d)
1/49
32.
A farm has 5 brown cows and 10 white cows. A fence is open and two cows escape. What is the probability that it will be a brown cow, then a white cow?
a)
1/9
b)
2/9
c)
5/21
d)
10/21
33.
40% of students in a school wore blue on a Spirit Day. If two students are randomly selected, what is most likely the probability that both students will not be wearing blue?
a)
16%
b)
36%
c)
40%
d)
60%
34.

How many different outfits can be made as seen in this tree diagram?

a)

2

b)

3

c)

6

d)

9

35.

I flipped a coin 50 times. It landed on heads 29 times and tails 21 times. Which statements are true for heads?

a)

Theoretical = 1/2; Experimental = 1/2

b)

Theoretical = 29/50; Experimental = 1/2

c)

Theoretical = 1/2; Experimental = 29/50

d)

Theoretical = 1/2; Experimental = 21/50

36.
What is sample space?
a)
All of the Outcomes
b)
What Will Happen
c)
What Can Happen
d)
What I want to Happen
37.
How many total outfit options are represented?
a)
12
b)
22
c)
3
38.
Which of the following situations is represented by this tree diagram?
a)
3 shirt options, 6 pants options, and 12 shoe options
b)
3 shirt options, 2 pants options, and 2 shoe options
c)
2 shirt options, 3 pants options, and 1 shoe option
39.
Which shows the sample space for flipping two coins?
a)
H, T
b)
HH, HT, TH, TT
c)
HH, TT
d)
Dime, Nickel
40.
The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown.
What is the probability of selecting a brown candy?
a)
2/18
b)
1/9
c)
2/20
d)
1/10
41.
What is the probability of getting any letter that is not A?
a)
6/8
b)
3/4
c)
2/8
d)
1/4
42.
The cafeteria is serving three kinds of sandwiches:  tuna (T), chicken, (C), and peanut butter (P).  They are also serving a choice of two drinks:  milk (M) or water (W).  Which is the complete set of possibilities of combinations?
a)
TW, CW, PW
b)
TW, TM, TW, CW, PW
c)
TW, TM, CW, CM, PW, PM
43.
How many ways can a club select a president, vice president, and a secretary from a group of 5 people?
a)
12
b)
60
c)
15
44.
How many ways can a stylist arrange 5 of 8 vases from left to right in a store display?
a)
672
b)
40
c)
6720
45.
Members of 6 different school organizations decorated floats for the homecoming parade.  How many different ways can first, second, and third prize be awarded?
a)
18
b)
120
c)
36
46.

How many identification codes are possible by using 3 letters if no letter may be repeated?

a)

15, 600

b)

75

c)

78

47.

Cayden purchased 3 shirts, 3 jackets and 4 pairs of pants. How many different outfits using a shirt, a jacket and pants are possible?

a)

8

b)

18

c)

54

d)

10

48.

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

49.
7!
a)
4050
b)
5400
c)
5040
d)
4500
50.
Permutation, combination, or neither?
The batting order for seven players on a 12 person team.
a)
combination
b)
permutation
c)
neither
51.
Permutation, combination, or neither?

You really want a McPick 2.  There are 5 different entrees for the deal.
a)
combination
b)
permutation
c)
neither
52.
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
53.
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
54.

What is the probability of spinning an even number?

a)

16 2/3%

b)

33 1/3%

c)

50%

d)

75%

55.
Which event is not a dependent event?
a)
Picking 2 students to each be line leader and door holder from a group of 20 students
b)
Picking 2 marbles from a bag without replacing the first marble
c)
Picking 2 crayons from a box at the same time (simultaneously) 
d)
Picking an earring, replacing it, then picking a 2nd earring