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Probability - Geometry Standards

Total questions: 86

Worksheet time: 7hrs 2mins

Name
Class
Date
1.
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. P(orange,green)
a)
1/15
b)
2/15
c)
3/31
d)
1/5
2.
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(purple then black)
a)
1/18
b)
2/5
c)
3/7
d)
4/9
3.
Mrs. Cole has to choose two pieces of fruit for her lunch.  If she randomly takes two pieces of fruit from a bowl of 8 oranges and 8 apples, what is the probability she will choose two apples?  (Mrs. Cole does not put back the first piece of fruit before she takes the second piece of fruit)
P(apple, apple)
a)
1/4
b)
7/30
c)
1/32
d)
1/64
4.
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
5.
Lisa flipped the same coin 3 times. What is the probability she obtained all tails?
a)
1/2
b)
1/4
c)
1/16
d)
1/8
6.
Which compound event if composed of dependent events?
a)
Selecting a candy bar from a bag eating the candy bar and selecting again
b)
Selecting a candy bar from a bag, deciding you don't want it, replace the candy bar and select again.
7.
A coin is tossed and then the spinner is spun. Determine the probability that you toss Heads and spin a Red.
a)
1/6
b)
1/10
c)
0
d)
1/12
8.
Is the following compound event independent or dependent
P(1 and A)
a)
Independent
b)
Dependent
9.
Determine if the following events are dependent or independent.
Anna flips a coin two times.
a)
Independent
b)
Dependent
10.
In a box there are 3 red pens, 2 green pens, and 1 blue pen. What is the probability of picking a red pen, not replacing it, and then picking a blue pen?
a)
1/2
b)
4/11
c)
1/10
d)
2/3
11.
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
12.

A number is randomly selected from 0-10 (0 is included). What is the probability the number selected is greater than 5?

a)

1/2

b)

3/5

c)

2/5

d)

5/11

13.
What is the probability of spinning an even number? 
a)
16 2/3%
b)
33 1/3%
c)
50%
d)
75%
14.

A ten sided die is rolled.


P (3 or 5)

a)

3/10

b)

1/5

c)

1/10

d)

25%

15.

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

16.

Sandra flips a coin. The probability that the coin will land on tails is ​ (a)   . If Sandra flips the coin 26 times. The coin will land on tails ​ (b)  

times.

Choose from the below words
1/2
13
1/4
12
26
1/3
17.
What percentage of the students have brown hair?
a)
25%
b)
60%
c)
45%
d)
50%
18.
What percentage of SUV's are driven by women?
a)
56.25%
b)
75%
c)
83.25%
d)
86.5%
19.
Of the times when the forecast called for rain, what is the percentage that it actually rained?
a)
About 90%
b)
About 50%
c)
About 70%
d)
About 80%
20.
According to the two-way table, a person who plays an instrument is most likely to:
a)
Not play an instrument
b)
Not play a team sport
c)
Play a team sport
d)
All of the above
21.
A survey explored the relationship between gender and band class. Which is a reasonable conclusion?
a)
There are more band members than non-band members
b)
There are more boys in the class than girls
c)
There are more boys in band than not in band
d)
More than half of the bands members in the class are girls
22.
How many total people were surveyed about what ice cream flavor they would pick?
a)
107
b)
92
c)
70
d)
269
23.
How many people purchased no food and no drink?
a)
60
b)
10
c)
20
d)
200
24.
What type of association does this graph have?
a)
positive 
b)
negative
c)
none
d)
all of the above
25.
How many students were surveyed in the "Biking to School" two-way table?
a)
16
b)
14
c)
11
d)
30
26.

The number of siblings you have and your body temperature represents what type of association?

a)

Positive association

b)

Negative association

c)

No association

27.
What color car is the least popular at this car dealership?
a)
Red
b)
White
c)
Blue
d)
Green
28.

How many have an XBox, but not a Playstation

a)

13

b)

19

c)

4

d)

17

29.
What percentage of males drive sports cars?
a)
35%
b)
16.25%
c)
65%
d)
25%
30.
What percent of the total population surveyed were electrical engineers that like math?
a)
33.9%
b)
48.6%
c)
16.5%
d)
21.7%
31.
How many sophomores like burritos and pizza?
a)
6
b)
5
c)
11
d)
50
32.

What percent of people who attended the basketball game also attended the school play?

a)

38%

b)

47%

c)

25%

d)

54%

33.

What percent of the total people attended neither?

a)

15%

b)

19%

c)

.15

d)

7%

34.

What is the chance that a particular event will or won't occur called?

(a)  

35.

The branch of math concerned with the analysis, collection, interpretation, and presentation of various amounts of data

(a)  

36.

After collecting data, the first thing you should do with the number is to

(a)  

37.
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
38.
The letters that form the word MATHEMATICS are placed in a bowl. What is the probability of choosing a "M"?
a)
8/121
b)
4/11
c)
2/11
d)
4/121
39.
Find the probability of not rolling a 2 on a single die.
a)
1/6
b)
2/6
c)
5/6
d)
2
40.
A number is randomly selected from 0-10. What is the probability the number selected is greater than 5?
a)
1/2
b)
3/5
c)
2/5
d)
5/11
41.
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
42.
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
43.
a)
1/4
b)
1/8
c)
1/2
d)
1/6
44.
What is the probability of the arrow stopping on “X” on the first spin and “F” on the second spin?
a)
5/6
b)
1/36
c)
1/3
d)
1/6
45.
In a box there are 3 red pens, 2 green pens, and 1 blue pen. What is the probability of picking a red pen, replacing it, and then picking a green pen?
a)
1/2
b)
4/11
c)
1/6
d)
2/3
46.
a)
1/2
b)
1/8
c)
1/3
d)
1/12
47.
a)
1/8
b)
1/2
c)
1/24
d)
1/16
48.
a)
1/48
b)
1/6
c)
1/8
d)
1/24
49.

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 that you will get yellow gummy bears and then red gummy bears?

a)

The probability is 3/11

b)

The probability is 1/11

c)

The probability is 3/132

d)

The probability is 3/12

50.

Miss Ward spins a wheel to determine the number of homework problems to assign. There are 20 sections labeled 1–20. What is the probability that there will be fewer than 8 problems assigned for homework?

a)

8/20

b)

3/5

c)

4/9

d)

7/20

51.

Daniel bought a bag of 32 candy-coated chocolates. Of those candies, 11 are blue and 10 are orange. If Daniel selects a candy at random, what is the probability that the candy will NOT be blue or orange?

a)

11/32

b)

1/2

c)

11/16

d)

21/32

52.
A bag of markers has 4 red markers, 5 blue markers, 3 yellow markers, and 3 green markers. If Maria pulls out a marker without looking, what is the probability he will NOT pull out a blue marker?
a)
5/10
b)
1/3
c)
4/15
d)
2/3
53.
A small bag of jelly beans contains 2 lemons, 4 cherry, 1 lime, and 3 blueberry jelly beans. If Jessica chooses a jellybean without looking, what is the probability it will be cherry or blueberry?
a)
3/10
b)
7/10
c)
1/2
d)
1/4
54.
Jose randomly selected a block like the ones shown from a bag.  What is the probability that he will choose a cube with a number less than 5?
a)
⅔
b)
⅙
c)
⅓
d)
⅚
55.
Without looking, Ashley selected a tile from the tiles shown.  What is the probability she will NOT choose a prime number? ( A prime number is any number with 1 and itself as factors)
a)
⅗
b)
⅖
c)
½
d)
4/9
56.
What is the probability of spinning the spinner and having it land on RED?
a)
⅓
b)
½
c)
⅔
d)
⅚
57.

A card is selected from a deck of 52 cards. The probability of its being a red face card (J, Q, K) is...

a)

326\frac{3}{26}

b)

313\frac{3}{13}

c)

213\frac{2}{13}

d)

12\frac{1}{2}

58.

One ticket is drawn at random from a bag containing tickets numbered 1 to 40. The probability that the selected ticket has a number which is a multiple of 5 is

a)

15\frac{1}{5}

b)

35\frac{3}{5}

c)

45\frac{4}{5}

d)

13\frac{1}{3}

59.

In John's closet, there are 3 pairs of blue socks, 5 pairs of green and 2 pairs of white socks. If John is going to pick a pair of socks, what is the probability that John will get a pair of white socks?

a)

1/5

b)

3/10

c)

1/2

d)

4/5

60.

Irene and Ian are playing rock-paper-scissors game. What is the probability that Irene will win the first round?

a)

1

b)

1/3

c)

2/3

d)

1/6

61.

Mr. Lau ordered a bunch of balloons for his daughter’s party. When he went to pick up the balloon order, one of the balloons came loose and floated away. If he started with 8 red balloons, 6 blue balloons, 4 green balloons, and 10 purple balloons, what is the probability that the balloon that floated away was red?

a)

1/8

b)

2/7

c)

2/5

d)

1/28

62.

Mark and John flip a coin twenty times and get 8 heads, 12 tails. What is the experimental probability for flipping a tail?

a)

3/5

b)

8/12

c)

8/20

d)

2/5

63.

At school there are the same number of boys and girls. A student is chosen at random to raise the flag. How many times is it expected that a boy will raise the flag over 30 days of​ school?

a)

15 times

b)

20 times

c)

25 times

d)

30 times

64.
Find the geometric probability of a marble falling on the shaded region of the figure. 
a)
75%
b)
45%
c)
50%
d)
80%
65.
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
66.
Find the probability that a point K selected randomly on AE , is on AC. Express your answer as a fraction.
a)
1/2
b)
3/4
c)
4/8
d)
3/8
67.
Find the probability that a point K selected randomly on AE , is on BC. Express your answer as a fraction.
a)
1/2
b)
2/4
c)
4/8
d)
3/8
68.

What is the probability of landing on a blue number?

a)

1/3

b)

4/10

c)

8/4

d)

1/2

69.

If you throw a dart at the square design below, what is the probability that you hit the middle region?

a)

0.75

b)

0.4375

c)

0.5625

d)

0.28125

70.

If you pick a point at random inside the large square, find the probability it is in the small square.

a)

0

b)

1/4

c)

1/3

d)

1/2

71.
Find the probability that a randomly chosen point in the figure lies in the shaded region.
a)
52.3%
b)
51.4%
c)
47.6%
d)
45.7%
72.
Find the probability that a randomly chosen point in the figure lies in the shaded region.
a)
94.8%
b)
80%
c)
60%
d)
45.6%
73.
This game board is made up of concentric circles. The center circle has a diameter of 4 inches. Each successive ring has a radius 2 inches greater than the ring before. Find the probability of scoring 80 points.
a)
2/3
b)
1/3
c)
3/4
d)
1/4
74.
Find the probability of Lose a Turn for the spinner shown.
a)
1/9
b)
1/4
c)
2/9
d)
7/36
75.
Find the geometric probability of a marble falling on the shaded region of the figure. 
a)
15.3%
b)
24.5%
c)
26.9%
d)
21.5%
76.

The dartboard above is made up of three concentric circles with radii 1, 3, and 5 and Assuming that a dart thrown will land randomly on the dartboard, what is the probability that it lands in the green region?

a)

0.32

b)

0.36

c)

0.40

d)

0.60

77.

A point is randomly chosen on  . Find the probability that a point chosen at random will NOT be in the triangle.
(Round to the nearest hundredth)

a)

0.84

b)

0.16

c)

0.30

d)

0.15

78.
Find the probability that a point K selected randomly on AE , is on AC. Express your answer as a fraction.
a)
1/2
b)
3/4
c)
4/8
d)
3/8
79.
Find the probability that a point K selected randomly on AE , is on BC. Express your answer as a fraction.
a)
1/2
b)
2/4
c)
4/8
d)
3/8
80.
Find the probability that a point chosen at random on the segment satisfies the inequality : x ≤ 5
a)
40%
b)
50%
c)
30%
d)
60%
81.
Find the probability that a point chosen at random on the segment satisfies the inequality : x + 1 ≥ 7
a)
37.5%
b)
36.9%
c)
38.5%
d)
40%
82.

A rectangular prism has dimensions of 4 cm, 5 cm, and 6 cm. A point is chosen at random within the prism. What is the probability that the point is within 1 cm of at least one of the faces of the prism?

a)

4/5

b)

1/5

c)

1/3

d)

1/4

83.

A solid cylinder has a height of 10 cm and a radius of 3 cm. A point is chosen at random within the cylinder. What is the probability that the point is within 3 cm of the bottom?

a)

3/10

b)

1/5

c)

1/3

d)

10/13

84.

A right square pyramid with a base side length of 6 cm and a height of 9 cm is given. If a point is chosen at random inside the pyramid, what is the probability that it lies above the midpoint of the pyramid’s height?

a)

1/8

b)

1/2

c)

1/3

d)

1/6

85.

A right circular cone has a height of 12 cm and a base radius of 5 cm. A point is chosen at random inside the cone. What is the probability that this point is within 3 cm of the cone's base?
hint: the radius at the point in the cone 3cm from the bottom is 3.75 cm

a)

27/64

b)

21/64

c)

19/64

d)

7/8

e)

78/79

86.

A sphere has a radius of 6 cm. A point is chosen at random within the sphere. What is the probability that the point is within 2 cm of the sphere's surface?

a)

8/27

b)

14/25

c)

56/64

d)

107/200

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