Free Printable P&S End of 9 Weeks Spring-2025

Worksheets

P&S End of 9 Weeks Spring-2025

Total questions: 45

Worksheet time: 3hrs 47mins

Name

Class

Date

Solving probability problems using addition rule: A bag contains 4 red and 5 blue marbles. What is the probability of drawing a red or a blue marble?

The probability of drawing a red or a blue marble is 4/9 - 5/9 = -1

The probability of drawing a red or a blue marble is 4/9 + 5/9 - 0 = 1

The probability of drawing a red or a blue marble is 4/9 * 5/9 = 20/81

The probability of drawing a red or a blue marble is 4/9 / 5/9 = 0.8

Events A and B are mutually exclusive. If the probability of event A is 0.4 and the probability of event B is 0.3, what is the probability of A or B occurring?

1.0

0.5

0.7

0.2

Solving probability problems using addition rule: In a group of students, 60% like pizza and 40% like burgers. 30% like both pizza and burgers. What is the probability that a student chosen at random likes either pizza or burgers?

0.60 - 0.40 = 0.20

0.60 x 0.40 = 0.24

0.60 / 0.40 = 1.50

0.60 + 0.40 - 0.30 = 0.70

If drawing a heart and drawing a spade from a deck of cards are mutually exclusive events, what is the probability of drawing either a heart or a spade?

1/3

1/2

1/4

3/4

In a group of students, 30% play basketball, 40% play soccer, and 10% play both basketball and soccer. What is the probability that a student chosen at random plays either basketball or soccer?

0.60

0.20

0.50

0.10

In a standard deck of 52 cards there are 13 diamonds and 13 hearts (red) and 13 spades and 13 clubs (black). Find the probability of choosing a card at random that is a spade OR a 7

1/52

1/13

4/13

17/52

The probability of A is given P(A) = .4 and the probability of B is given P(B)=.25. If the Probability of the intersection (A AND B) is .13, Find the probability of choosing A OR B. Hint - use the addition rule!

.78

.13

.52

Mrs. Elder has a box containing 6 cracker, 3 peppermints, 6 bubble gums, and 3 licorice sticks. If she randomly chooses one piece from the box, what is the probability that she will grab a cracker or a peppermint?

peppermint

1/6

1/2

1/3

If a spinner is numbered 1 – 8, when you spin it the events of spinning an even number and a number less than 4 are ...

Mutually Exclusive

Not Mutually Exclusive

10.

Which of the following shows how to determine P(shaded number or number less than five)?

4/8 + 4/8 - 2/8

4/9 + 2/8 - 4/8

4/8 + 6/8 + 2/8

2/8 + 4/8 - 4/8

11.

The probability that Flight 9876 will be late is 0.27. The probability that Flight 123 will be late is 0.11. The probability that both flights will be late is 0.09. What is the probability that Flight 9876 or Flight 123 will be late?

0.47

0.38

0.29

0.07

12.

Thirty-two percent of families residing in a rural, farming town own a goat and 41% of families own a dog. Twenty-four percent of families own both types of animals. If a family from this town is chosen at random, what is the probability that it owns either a goat or a dog?

0.15

0.33

0.49

0.97

13.

A box contains 18 blue flashlights, 3 red flashlights, 7 silver flashlights, and 2 black flashlights. The flashlights are identical in size and shape. If one flashlight is chosen at random, what is the probability that the flashlight will be either blue or black?

$\frac{1}{3}$

$\frac{1}{2}$

$\frac{3}{5}$

$\frac{2}{3}$

14.

The probability of a New York teenager owning a skateboard is 0.37, of owning a bicycle is 0.81 and of owning both is 0.36. If a New York teenager is chosen at random, what is the probability that the teenager owns a skateboard or a bicycle?

1.18

0.7

0.82

None of the above

15.

If P(A) = 0.24, P(B) = 0.41, and P(A and B) = 0.18, what is P(A or B)?

0.17

0.47

0.59

0.65

16.

The enrollment at Southburg High School is 1400. Suppose 550 students take French, 700 take algebra, and 400 take both French and algebra. What is the probability that a student selected randomly takes French or algebra?

1250/1400

700/1400

550/1400

17/28

17.

What is the probability of choosing a Honda?

.5970

.5373

.4627

.4030

18.

What is the probability that a female is chose given they like a Toyota?

.525

.4627

.6774

.3143

19.

What is the probability that the person picked will be a boy given they speak german?

.7273

.16

.22

20.

What percentage of males drive sports cars?

35%

16.25%

65%

25%

21.

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)

1/36

2/39

5/41

6/43

22.

Classify the events as independent or dependent.

A ball is selected from a bin of balls numbered 1 through 10. It is replaced, and then a second ball is selected.

independent events

dependent events

23.

Use the Multiplication Rule to find the probability.

A coin is tossed and a die rolled.

Find the probability of tossing a tail and then rolling a number greater than 2.

1/3

1/2

1/6

1/4

24.

Find the probability of selecting an ace of diamonds from a deck of 52 cards and then selecting a jack of diamonds without replacing the ace.

Type your answer as a decimal rounded to four decimal places (the ten-thousandths place).

(a)

25.

There are 9 movies showing at a theater. Two are action movies, two are children’s movies, and the other movies are comedies. Ashley randomly selects 2 different movies to see. What is the probability that the first movie is an action movie and the second movie is a comedy?

$\frac{1}{18}$

$\frac{10}{81}$

$\frac{5}{36}$

$\frac{7}{9}$

26.

Anna has a bag of marbles for her little sister. It contains 12 red marbles, 6 white marbles, and 2 blue marbles. She drops the bag and three marbles roll out. What is the probability that all 3 marbles are white?

$\frac{1}{120}$

$\frac{1}{57}$

$\frac{15}{343}$

$\frac{3}{20}$

27.

A bag contains 20 marbles: 5 blue, 8 green and 7 orange.

Now suppose we choose 3 marbles, returning the previous marble to the bag before choosing the next marble.

Each selection is considered ____________.

Dependent

Independent

28.

Bag: 20 marbles, 5 blue

We draw the first marble and get a blue. We do not return it to the bag. What is the probability of the second marble being blue?

4/19

5/20

4/20

5/19

29.

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)

1/36

2/39

5/41

6/43

30.

Find the mean.

31.

FInd the Mean of the given data

20.2

20.7

14.1

13.99

32.

Given the data find the POPULATION standard Deviation by Calculator.

14.1

20.2

14.0

33.

For the following data find the SAMPLE VARIANCE using the calculator

199.078341

195.9183673

14.1

13.99

34.

Given the following data set
6, 9, 12, 14, 7, 9, 6, 8, 25, 12, 14
What is the mean of the data set without the outlier(s)?

9.2

9.7

11.1

12.4

35.

What is the IQR of the Cruisers?

36.

Find the range and the outlier of the given data:
126, 62, 144, 132, 144, 103

range: 82 out:62

range: 62 out:62

range:82 out:144

37.

What is the IQR of the Car Hops?

38.

Given the data set: 1, 2, 3, 6, 9, 11, 45, 102, calculate the percentile for the data value 11 in this set.

70^th percentile

62.5^thpercentile

72.5^thpercentile

75^thpercentile

39.

What is the Z-score for Tina if she got a 31 on the ACT, the mean was 23 and the SD was 4?

+0.20

+2.00

-2.00

-0.20

40.

Consider the score distribution of 15 students given below:

83, 72, 87, 79, 82, 77, 80, 73, 86, 81, 79, 82, 79, 74, 74.

The mean in the given score distribution of 15 students can also be interpreted as ______.

seven students scored higher than 79.

seven students scored lower than 79.

seven students scored lower than 79 and seven students scored higher than 79.

fourteen students scored lower than 79.

41.

The heights of 25 students in Mrs. Garrett's statistics class have a mean of 67 inches and a standard deviation of 4.29 inches. Boris, a member of the class is 75 inches tall. His z-score is 1.86. Interpret this value.

Boris's height is 1.86 standard deviations above the mean.

Boris's height is in the 186th percentile.

Boris is really tall.

Boris's height is almost 3 deviations above the mean.

42.

Based on data from the 2016 Current Population Survey, the percent of residents age 65 or older in the 50 states and the District of Columbia has a mean 15.62% and standard deviation 1.83%. The standardized score for Florida is z = 2.34. Find the percent of the state's residents that were 65 or older.

19.9%

21.1%

23.4%

18.7%

43.

Find the 46th percentile of this set of 11 values

5, 12, 16, 18, 22, 25, 30, 31, 32, 33, 39

5.06

44.

What is the score for something in the 87th PERCENTILE of the given data set.

45.

All of the below sets have the same mean.
Set 1-Standard Deviation=3.1
Set 2-Standard Deviation=4.9
Set 3-Standard Deviation=1.7
Set 4-Standard Deviation=3.2
Which set of data probably has the points closest to the mean?

100 %

P&S End of 9 Weeks Spring-2025

Total questions: 45

Worksheet time: 3hrs 47mins

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