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Probability: UNIT REVIEW

Total questions: 36

Worksheet time: 1hrs 14mins

Name
Class
Date
1.

P(rolling a sum of 7)

a)

 16\frac{1}{6}  

b)

 77  

c)

 736\frac{7}{36}  

d)

 67\frac{6}{7}  

2.

P(rolling a sum less than 4)

a)

312\frac{3}{12}

b)

112\frac{1}{12}

c)

16\frac{1}{6}

d)

34\frac{3}{4}

3.

P(rolling a sum of 12)

a)

218\frac{2}{18}

b)

112\frac{1}{12}

c)

136\frac{1}{36}

d)

11\frac{1}{1}

4.

You completed an experiment where you rolled a dice 12 times and recorded your data in the table above. What is the experimental probability of rolling a 4?

P(rolling a 4)

a)

2/6

b)

1/6

c)

1/12

d)

5/12

5.
Probability can only be values between which two numbers?
a)
0 to 2
b)
0 to 10
c)
0 to 5
d)
0 to 1
6.

What is an event that will happen or has a probability of 1?

a)

theoretical

b)

probability

c)

mutually exclusive

d)

certain

7.

an event with a probability of zero

a)

impossible

b)

mutually exclusive

c)

outcome

d)

outcome

8.

The chance that some event will happen, or how likely it is to occur.

a)

odds

b)

probability

c)

outcomes

d)

tree diagram

9.
Possible results of an event
a)
outcomes
b)
compound event
c)
simple event
d)
probability
10.

Theoretically, what is the probability of rolling a sum of one with a pair of dice?

P(sum of 1)

a)
0
b)
1/6
c)
1/12
d)
1/36
11.

A bag has 4 green marbles, 3 red, 2 blue and 1 yellow. What is the theoretical probability of pulling a red?

P(red)

a)

3/10

b)

3/6

c)

1/9

d)

1/3

12.
Experimental Probability is:
a)
What Will happen 
b)
What actually happens
c)
What should happen
d)
What I think Happens
13.
Which shows the sample space for flipping two coins?
a)
H, T
b)
HH, HT, TH, TT
c)
HH, TT
d)
Dime, Nickel
14.

You have a 3 tops, 2 pants and 2 shoes. How many total outfit options are represented?

a)

12 outfits

b)

22 outfits

c)

3 outfits

d)

7 outfits

15.

Use the tree diagram to find the probability of tossing a head first and then a tail when a coin is tossed twice.

a)

1

b)

1/2

c)

1/4

d)

1/8

16.

What is the sample space when you roll a die and then flip a coin?

a)

1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T

b)

2

c)

1,2,3,4,5,6,H,T

d)

12

17.

A letter from the word MATH is chosen at random, then a coin is flipped. What is the probability of choosing the letter 'm' then getting tails?

P( m, tails)

a)

17/26

b)

1/8

c)

5/13

d)

1/6

18.

You flip a nickel three times.
Find the probability that all flips will land on tails.

P(tails, tails, tails)

a)
1/2
b)
1/4
c)
1/6
d)
1/8
19.

What is the probability of rolling a number greater than 4 and spinning blue?

P( # greater than 4, then blue)

a)

1/24

b)

1/12

c)

1/6

d)

1/4

20.

You spin this spinner 3 times.

Find the probability of these 3 events.

P(red, odd, 3)

a)

1/216

b)

1/72

c)

1/12

d)

1/36

21.

What is the probability of randomly selecting a striped marble, REPLACE IT, and then selecting a solid marble?

P (striped, solid)

a)

2/5

b)

6/25

c)

3/5

d)

11/50

22.

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are NOT REPLACED!!
P(white, then purple, then black)

a)
1/36
b)
2/39
c)
5/41
d)
6/43
23.

Match the following

a)

theoretical probability

1.


what SHOULD happen/possible outcome

b)

probability

2.

The chance that some event will happen

c)

experimental probability

3.

what ACTUALLY happens/total # of trials

d)

tree diagram

4.

used to show total possible outcomes

e)

event

5.

A thing that happens

24.

The set of all possible outcomes of a probability experiment is called the ​ (a)  

Choose from the below words
sample space
simulation
independent probability
dependent probability
25.

A bag contains 3 red marbles, 4 blue marbles, and 5 yellow marbles. You select a marble from the bag and WITHOUT replacing it select another marble from the bag. What is the probability that you will draw 2 blue marbles?

P ( blue, blue )

a)

111\frac{1}{11}  

b)

433\frac{4}{33}  

c)

19\frac{1}{9}  

d)

112\frac{1}{12}  

26.

A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles.  You choose one marble.   What is the probability of selecting a green OR red marble?  Do you add or multiply probabilities? (a)  

Choose from the below words
Add
Multiply
27.

A bag contains 6 purple marbles and 4 pink marbles. A marble is drawn at random and NOT replaced. Then a second marble is drawn. What is the probability that both marbles are purple?

P (purple, purple)

(a)  

28.

A bag contains 4 purple marbles and 3 pink marbles. Two marbles are drawn at random. What is the probability that both marbles are pink if drawn WITHOUT replacement? (do not simplify)

P (pink, pink)

(a)  

29.

A jar contains 6 black marbles and 4 white marbles. If two marbles are drawn WITHOUT replacement, what is the probability you will choose a white, and then a black marble?

P (white, black)

a)

10/100

b)

10/90

c)

24/100

d)

24/90

30.

A bag contains 4 blue marbles, 6 green marbles and 3 yellow marbles. If two marbles are drawn at random from the bag.


What’s the probability of drawing a green marble, without replacing it, and then drawing a yellow marble?

P ( green, yellow )

a)

325\frac{3}{25}

b)

925\frac{9}{25}

c)

326\frac{3}{26}

d)

926\frac{9}{26}

31.

You draw a marble from a bag that has 4 red, 2 blue, and 3 green, you also flip a fair coin. What is the probability you will draw a blue marble and flip a heads?

P ( blue, heads)

a)

1/9

b)

3/9

c)

3/6

d)

5/6

32.

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 blue, eating it then selecting yellow?

(HINT... YOU ARE EATING IT.... SO YOU WILL NOT BE REPLACING IT!!!!)

P (blue, yellow)

a)
2/18
b)
1/9
c)
2/20
d)
1/19
33.

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing a prime number?

(HINT... PRIME NUMBERS are natural numbers that are divisible by only 1 and the number itself)

(tails, prime #)

a)
1/12
b)
1/4
c)
1/8
d)
1/2
34.

What is the probability of spinning this wheel twice and landing on the green section both times?

P (green, green)

a)

18\frac{1}{8}

b)

116\frac{1}{16}

c)

132\frac{1}{32}

d)

164\frac{1}{64}

35.

Oscar has a bag of game pieces - what is the probability that he will choose a blue piece, REPLACE it, then choose a yellow piece?

P (blue, yellow)

a)

730\frac{7}{30}

b)

13\frac{1}{3}

c)

245\frac{2}{45}

d)

1225\frac{1}{225}

36.

Probability of:
Spinning a 5
Drawing an C

P ( 5, C )

a)
0 - there isn't a 5
b)
1/4
c)
1/8
d)
1/16