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Simple and Compound Probability

Total questions: 30

Worksheet time: 3hrs 30mins

Name
Class
Date
1.
Clara picks a marble at random, puts it back, and then picks another marble at random.
a)
Dependent
b)
Independent
2.
Victor picks a card at random. Without putting the first card back, he picks a second card at random.
a)
Dependent
b)
Independent
3.
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
4.
An ice cream parlor has 6 different flavors. They have 4 toppings and 2 types of cones. How many possible ice cream combinations are there?
a)
6
b)
48
c)
12
d)
24
5.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
6.

You are at the movies with your friends and decided to buy a small bag of gummy bears. There are 4 red bears, 5 green bears, and 3 yellow bears in the bag. What is the probability you grab a red gummy bear, eat it, and grab a yellow gummy bear.

a)

The probability is 3/11

b)

The probability is 1/11

c)

The probability is 3/132

d)

The probability is 3/12

7.

A jar contains 2 green marbles, 4 blue marbles and 3 yellow marbles. A marble is chosen at random from the jar and replaced. Then a second marble is chosen at random. Find the probability of the first marble being green and the second marble being yellow.

a)

5/72

b)

6/72

c)

3/81 or 1/27

d)

6/81 or 2/27

8.

If you roll a die one time, find P(a number greater than or equal to 3).

a)

5/6

b)

4/6, or 2/3

c)

1/3

d)

1/2

9.
Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B.
a)
3/20
b)
1/4
c)
3/31
d)
2/27
10.
A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a number less than 5 on the second roll? 
a)
2/3
b)
5/36
c)
1/9
d)
1/36
11.
Ricardo 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 Ricardo 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
12.
Lucy has the spinner pictured and spins it twice in a row. What is the probability that she lands on blue first and then on yellow or green?
a)
1 / 16
b)
1 ⁄ 6
c)
1 ⁄ 8
d)
3 ⁄ 4
13.
The two spinners above are spun. What is the probability of getting a perfect square (1,4,9,16), then the letter Z? 
a)
3/20
b)
9/20
c)
1/8
d)
11/40
14.
Jamie has 3 raffle tickets. One hundred tickets were sold. Her name was not drawn for the first prize. What is the probability that her name will be drawn for the second prize?
a)
1/3
b)
1/33
c)
3/100
d)
2/99
15.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
16.
You roll a six sided die. What is the probability of rolling an even number three times in a row? 
a)
3/100
b)
1/2
c)
1/6
d)
1/8
17.
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 the number 3? 
a)
1/12
b)
1/4
c)
1/8
d)
1/2
18.

In a box are 3 red pens, 4 black pens and 2 green pens. You pick a pen at random and then put it back. Your friend then picks a pen. What is the probability you both pick red?

a)

1/9

b)

2/9

c)

6/9

d)

4/9

19.

A quiz contains 5 true or false questions. If you forgot to study and do not know the answer to them and guess, what is the probability of getting them all right? HINT: What is the probability of getting a True or False question correct on a test

a)

1/60

b)

1/32

c)

1/6

d)

1/2

20.

A fruit basket contains 2 apples, 3 bananas and 5 pears. What is the probability of grabbing two pears back to back.

a)

2/90 or 1/45

b)

5/90 or 1/18

c)

20/90 or 2/9

d)

25/90 or 5/18

21.

What is the probability of picking a blue marble?

a)

37\frac{3}{7}

b)

73\frac{7}{3}

c)

47\frac{4}{7}

d)

74\frac{7}{4}

22.

What is the probability of picking a blue marble, putting it back in the bag, then picking a red marble?

a)

 37×37\frac{3}{7}\times\frac{3}{7}  

b)

 47×47\frac{4}{7}\times\frac{4}{7}  

c)

 47×36\frac{4}{7}\times\frac{3}{6}  

d)

 47×37\frac{4}{7}\times\frac{3}{7}  

23.

A ten sided die is rolled.


P (3 or 5)

a)

3/10

b)

1/5

c)

1/10

d)

25%

24.
A letter of the alphabet is chosen at random, then a coin is flipped. What is the probability of choosing a letter from the word MATH then getting tails? 
a)
17/26
b)
1/13
c)
5/13
d)
5/26
25.

A box has 3 limes, 5 grapes, and 2 oranges.


P (NOT lime)

a)

3/10

b)

30%

c)

7/10

d)

Answer Not Here

26.

Jasons deli has three meal options. The sandwich (chicken salad, turkey, grilled cheese), the side (chips, french fries, fruit cup), and the drink (soda or water). What is the probability that someone chooses a meal with chips with a soda?

a)

1/18

b)

1/2

c)

1/6

d)

Answer Not Here

27.
The tree diagram shows the outcomes of rolling a die and flipping a coin.  
How many total outcomes are there?  
a)
6
b)
12
c)
24
d)
36
28.

The tree diagram shows the outcomes of rolling a die and flipping a coin.

What is the probability of rolling an even number and flipping a head?

a)

3/12 or 1/4

b)

6/12 or 1/2

c)

4/12 or 1/3

d)

0/12 or 0

29.

What is the probability that you will get plain crust with ham on your pizza?

a)

1/8

b)

1/2

c)

1/10

d)

2/10

30.
Which shows the sample space for flipping two coins?
a)
H, T
b)
HH, HT, TH, TT
c)
HH, TT
d)
Dime, Nickel

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