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Basic Probability Review 11/18

Total questions: 55

Worksheet time: 2hrs 2mins

Name
Class
Date
1.
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
2.
A store sells shirts that are either small, medium, or large. The colors are either red, blue, green, or white. What is the probability someone will select a large green shirt?
a)
1/3
b)
1/7
c)
1/9
d)
1/12
3.
You pick a marble from this bag.
What is the probability you will choose either a black or white marble?
a)
3/5
b)
9/100
c)
1/10
d)
2/5
4.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
5.
A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?
a)
3/10
b)
3/9
c)
1/9
d)
1/3
6.
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
7.
A store sells shirts that are either small, medium, or large. The colors are either red, blue, green, or white. What is the probability someone will select a large green shirt?
a)
1/3
b)
1/7
c)
1/9
d)
1/12
8.
You pick a marble from this bag.
What is the probability you will choose either a black or white marble?
a)
3/5
b)
9/100
c)
1/10
d)
2/5
9.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
10.
A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?
a)
3/10
b)
3/9
c)
1/9
d)
1/3
11.
Based on the chart, what is the experimental probability of pulling a green marble?
a)
1/8
b)
8/25
c)
8/100
d)
7/8
12.
The spinner is divided into eight equal parts. Find the theoretical probability of landing on the given section of the spinner.P(white)=
a)
1/8
b)
5/8
c)
7/8
d)
3/7
13.
Andrew picks one marble at a time from a box and replaces it. He repeats this process 25 times and records the results in the table. Based on the table, which color marble has an experimental probability of 1/5?
a)
Yellow
b)
Red
c)
Blue
d)
Green
14.
What is the Theoretical Probability of landing on red?
a)
43%
b)
33.3%
c)
40%
d)
36%
15.
If you choose from the following M & M colors, what is the probability that you choose blue?
5 green
6 yellow
8 blue
7 brown
a)
8/26
b)
4/13
c)
8/25
d)
1/3
16.
Probability is ...
a)
the chance that some event will occur.
b)
a game that involves coins.
c)
a guarantee.
17.
What is an outcome?
a)
The result of an experiment
b)
The chance or likelihood of an event
c)
A fraction, decimal, or a percent
d)
An activity that gives various results
18.
Probability can be written as ...
a)
a fraction
b)
a decimal
c)
a percent
d)
all of the above
19.
Theoretical Probability is?
a)
What Should happen
b)
What does happen
c)
What Will Happen
d)
What I want to Happen
20.
Experimental Probability is:
a)
What Will happen 
b)
What actually happens
c)
What should happen
d)
What I think Happens
21.

What is the probability of flipping a coin

3 times and getting 3 heads?

a)

1/8

b)

1/4

c)

1/2

d)

3/4

22.

In a drawer, there are 6 white socks, 4 black socks, and 2 brown socks. You pick out a sock, replace it, then pick out a 2nd sock. What is the probability that you will pick a brown, then black sock?

a)

1/11

b)

1/18

c)

1/36

d)

2/33

23.
A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?
a)
5/11
b)
5/6
c)
1/3
d)
5
24.
Classify each pair of events as dependent or independent. 
Roll a number cube. Then toss a coin.
a)
Independent
b)
Dependent
25.
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
26.
How many ways ways can you arrange the letters in the word math?
a)
15
b)
4
c)
24
27.
Theoretically, what is the probability of rolling a sum of one with a pair of dice?
a)
0
b)
1/6
c)
1/12
d)
1/36
28.
What is the probability of choosing a vowel from the alphabet?
a)
21/26
b)
5/26
c)
1/21
d)
7/21
29.
What is the probability of spinning red?
a)
0
b)
1/2
c)
3/4
d)
1
30.
How many senior boys play football and wrestle?
a)
9
b)
12
c)
18
d)
39
31.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

32.

Research on eating habits of families in a large city produced the following probabilities if a randomly selected household was asked “How often during the week do you have a vegetarian (meatless) main dish at dinnertime?” What is the probability that a randomly selected household never has a vegetarian main dish at dinnertime?

a)

0.65

b)

0.35

c)

0

d)

0.25

33.

Research on eating habits of families in a large city produced the following probabilities if a randomly selected household was asked “How often during the week do you have a vegetarian (meatless) main dish at dinnertime?” What is the probability that a randomly selected household never has a vegetarian main dish at dinnertime?

a)

0.65

b)

0.35

c)

0

d)

0.25

34.

A game consists of drawing three cards at random from a deck of 52 playing cards. You win 3 points for each red card that is drawn. It costs 2 points each time you play. For one play of this game, the sample space S for the net number of points you gain (after deducting the cost of play) is

a)

S = {-2, 1, 4, 7}

b)

S = {0, 1, 2, 3}

c)

S = {0, 3, 6, 9}

d)

S = {-2, 3, 6, 9}

35.

Suppose we toss a fair penny and a fair nickel. Let A be the event that the penny lands heads and B be the event that the nickel lands tails. Which one of the following is true about events A and B?

a)

A and B are disjoint.

b)

A and B are complements.

c)

A and B are independent.

d)

A and B are mutually exclusive.

36.
What percentage of the days that it rained, did they forecast no rain?
a)
About 20%
b)
About 18%
c)
About 14%
d)
About 12%
37.
Change 4% to a decimal.
a)
.04
b)
.004
c)
.4
d)
4
38.
Write 0.39 as a percent.
a)
39
b)
3.9%
c)
39%
d)
.0039%
39.
What is 70% turned into a decimal?
a)
0.70
b)
7.0
c)
70.0
d)
.007
40.
Which shows the sample space for flipping two coins?
a)
H, T
b)
HH, HT, TH, TT
c)
HH, TT
d)
Dime, Nickel
41.
How many outcomes are there with tossing a coin and rolling a dice?
a)
2
b)
6
c)
12
d)
24
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 shows the CORRECT Sample Space List of possible combinations?
a)
TW, CW, PW
b)
TW, TM, TC, CW, PW
c)
TW, TM, CW, CM, PW, PM
d)
TCP, MW
43.
You pick a marble from this bag.
What is the probability you will choose either a black or a white marble?
*remember to simplify* 
a)
3/5
b)
4/10
c)
3/10
d)
6/10
44.
P(not A) = 
a)
6/8
b)
3/4
c)
2/8
d)
1/4
45.

What is sample space?

a)

a process with an uncertain result

b)

a possible result of an action

c)

a list of all possible outcomes of an event

d)

a single outcome or group of outcomes

46.
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
47.

What is the sample space of rolling a fair dice?

a)

{1, 2, 3, 4, 5, 6}\left\{1,\ 2,\ 3,\ 4,\ 5,\ 6\right\}

b)

{2, 4, 6, 8, 10}\left\{2,\ 4,\ 6,\ 8,\ 10\right\}

c)

1212

d)

6

48.

A yogurt shop has a half-price mystery scoop special. The scoop could have vanilla or chocolate yogurt. It will also include either hot fudge, caramel, or marshmallow topping. Which list shows all the possible outcomes of the mystery scoop special?

a)

S = { vanilla, chocolate, hot fudge, caramel, marshmallow }

b)

S = { (vanilla, hot fudge), (vanilla, caramel), (vanilla, marshmallow) }

c)

S = { (vanilla, hot fudge), (vanilla, caramel), (vanilla, marshmallow), (chocolate, hot fudge), (chocolate, marshmallow) }

d)

S = { (vanilla, hot fudge), (vanilla, caramel), (vanilla, marshmallow), (chocolate, hot fudge), (chocolate, caramel) (chocolate, marshmallow) }

49.

The result of a single observation of an experiment.

a)

Sample Space

b)

An outcome

c)

Equally Likely

50.

The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”?

a)

2/7

b)

5/49

c)

5/7

d)

10/49

51.
A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?
a)
3
b)
1/10
c)
3/10
d)
30%
52.
If you choose from the following M & M colors, what is the probability that you choose blue?
5 green
6 yellow
8 blue
7 brown
a)
8/26
b)
4/13
c)
8/25
d)
1/3
53.
A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?
a)
5/6
b)
1/2
c)
1/3
d)
1/6
54.
What is the probability that a female is chosen given they like a Toyota? 
a)
.525
b)
.4627
c)
.6774
d)
.3143
55.
If a stone is dropped at random on the arrangement of tiles shown, what is the probability the stone lands on a black tile?
a)
5/9
b)
4/9
c)
1/2
d)
1/9