Free Printable Probability and Data Review (Test 4.2)

Worksheets

Probability and Data Review (Test 4.2)

Total questions: 55

Worksheet time: 2hrs 35mins

Name

Class

Date

An automobile dealer decides to select a month for its annual sale. Find the probability that it will be September or October.

1/12

1/6

1/4

5/6

At a community swimming pool there are 2 managers, 8 lifeguards, 3 concession stand clerks, and 2 maintenance people. If a person is selected at random, find the probability that the person is either a lifeguard or a manager.

2/3

8/15

2/15

not enough information

At a particular school with 200 male students, 58 play football, 40 play basketball, and 8 play both. What is the probability that a randomly selected male student plays neither sport?

49/100

29/100

51/100

9/20

The Bargain Auto Mall has these cars in stock. If a car is selected at random, find the probability that it is Foreign and mid-sized.

20/300

135/300

155/300

40/300

Which event is not a dependent event?

Picking 2 students to each be line leader and door holder from a group of 20 students

Picking 2 marbles from a bag without replacing the first marble

Picking 2 crayons from a box at the same time (simultaneously)

Picking an earring, replacing it, then picking a 2nd earring

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

1/2

1/4

1/6

1/8

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?

1/3

1/7

1/9

1/12

You pick a marble from this bag.
What is the probability you will choose either a black or white marble?

3/5

9/100

1/10

2/5

You roll two die.
What is the probability you will roll a 4, then roll a number less than 3?

1/36

1/18

1/9

1/6

10.

What is the probability of landing on the color blue on the spinner?

3/3

5/3

3/12 or 1/4

1/3

11.

Gabriel has these cans of soup in his kitchen cabinet.

• 2 cans of tomato soup

• 3 cans of chicken soup

• 2 cans of cheese soup

• 2 cans of potato soup

• 1 can of beef soup

Gabriel will randomly choose one can of soup. Then he will put it back and randomly choose another can of soup. What is the probability that he will choose a can of tomato soup and then a can of cheese soup?

2/5

1/25

2/45

1/5

12.

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. They will draw 2 times and draws are made without replacement. What is the Probability of both marbles being purple?

2/9

1/3

1/2

1/4

13.

Des buys a pack of Starbursts that has 3 orange, 6 pink, 1 yellow, and 5 red Starbursts. She puts the candy in the bowl. If she reaches in and grabs two Starbursts without putting one back, what is the probability that she will pick a pink and then a yellow?

1/35

7/210

6/225

2/75

14.

Dependent probability happens when the first item is not replaced, causing the total outcomes to decrease by 1.

true

false

15.

Is the event INDEPENDENT or DEPENDENT?

Amy is playing a card game. She picks a card at random. Then without putting the first card back, she picks a second card at random.

Independent

Dependent

16.

You are playing a game of scrabble. The tiles shown are dropped in a bag. You need to choose two tiles. What is the probability of choosing an "E", keeping it, and then choosing a "H"?

4/15

1/70

1/75

1/225

17.

Find the probability if you pick a card, do not replace it, then pick another card. What is the probability of both cards being black?

15/56

5/14

3/28

18.

Each letter of the word Banana is written on a card. Find each probability if you pick two cards without replacing the first. What is the probability of picking an A and then a B?

p(A, then B)

1/15

1/5

1/10

19.

If you flip a coin two times, is it independent or dependent probability?

Independent

Dependent

20.

What is the probability of flipping a coin twice and landing on tails both times? (leave answer in fraction form in lowest terms)

1/2

2/2

4/1

1/4

21.

If you spin two times, what is the probability of landing on green both times? (leave answer in fraction form in lowest terms)

1/6

1/9

1/36

1/30

22.

You roll a 6-sided number cube. What is the probability of rolling an even number three times in a row? (leave answer in fraction form in lowest terms)

3/100

1/8

1/6

1/2

23.

A fruit basket contains 9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit. Humperdink randomly chooses a fruit, does not replace it, then chooses another. What is the probably that he chose two pears? (leave answer in fraction form in lowest terms)

1/30

4/125

1/10

9/49

24.

A ______ is the entire set of objects from which data might be collected

sample

population

numerical summary

statistic

25.

A _______ is a subset of the population.

population

numerical value

statistic

sample

26.

True or False: All samples lead to a good prediction about the entire population.

True

False

27.

A student wants to know which type of of pizza high school students perfer. Which of the following options is a good, representative sample of the population?

Asking all the 10th graders in the school

Asking 20 students from each grade level

Asking the school principal which type of pizza he perfers

Asking the students who walk to school

28.

A beverage company wants to see if people in the United States like their new logo. Which of the following represents the population?

2,000 people ages 5-13

A selection of logo artists

A selection of shoppers from different states

all the people in the United States

29.

Which of the following is NOT a reason why random samples are preferred over surveying the entire population.

A random sample allows you to survey whoever you want.

Surveying the entire population may cost too much money.

Surveying the entire population takes too much time.

Surveying the entire population can be a challenge because not everyone may respond.

30.

Which of the following situations would you want to collect a sample rather than surveying the entire population?

the median price of homes in Ohio

how many students in the class like mushrooms on their pizza

how many students have more than one pet

the typical number of home runs for each player on the baseball team

31.

A survey company was trying to see if people in a state thought the pollution was too high. Which choice BEST represents the population to be surveyed?

a selection of people who live in small towns

a selection of people who live in clean neighborhoods

a selection of people from each city in the state

all the people in the state

32.

What is the sample space?

6 bears

orange, green, red, white, yellow

unlikely

2 red bears

33.

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?

TW, CW, PW

TW, TM, TC, CW, PW

TW, TM, CW, CM, PW, PM

TCP, MW

34.

What is the sample space when rolling a regular number cube?

2, 4, 6

1, 2, 3, 4, 5, 6

35.

What is the sample space for the jar of marbles?

red

red, yellow, green, blue

red and yellow

red and green

36.

How many total outfit options are represented?

37.

Anthony opened a new store and wants to conduct a survey to determine the best store hours. Which is the best representative sample?

A group of randomly selected people who come to the store in one week.

A group of randomly selected people who visit his website on one night.

Every person he meets at his health club one night.

The first 20 people who walk into his store one day.

38.

Maria records random speeds from three different Internet providers in the table. Which company offers the fastest mean downloading speed?

CityNet

Able Cable

Tel-N-Net

Impossible to determine from the information given

39.

Litzy collects data from a random sample of 7th graders. Out of 40 respondents, 7 attend afterschool programs. Of the 200 7th graders attending Litzy's school, how many would be expected to attend afterschool programs?

14 7th graders

28 7th graders

35 7th graders

42 7th graders

40.

Trinity surveys students in her computer class about time spent on computers by students in her school. Fill in the blank to explain why this is not a representative sample. This is not a representative sample because students in computer class are _________ to use computers than other students.

less likely

equally likely

more likely

41.

Camira is comparing the growth of plants using two different fertilizers. Which statements about the box plots are true? Select all that apply.

The median is group B is greater.

According to the IQR, the variability in Group B is greater.

Group B contained the plant with the least amount of growth.

Group B contained the plant with the most amount of growth.

Group A has the greater median.

42.

The dot plot shows a random sample of the number of fish caught and released by 30 participants during a two-day fishing tournament. Select the inference that can be made based on the data collected.

On average, most participants caught and released 5 or more fish.

More participants caught 6 fish than any other number.

The same participants who caught and released 1 fish the first day caught and released 1 fish on the second day.

On average, participants caught and released more fish on Day 2.

43.

The captain of the basketball team wants to determine where the team should go for their end-of-season celebration. Which of the following is a representative sample? Select all that apply.

The students in her homeroom

Players whose names are randomly selected from a hat

The players in the starting lineup

All players over 5 feet tall

Every 5th player selected from an alphabetical roster of the team

44.

Which of the following measures of variability can be used to compare two data sets? Select all that apply.

Mean

Interquartile Range

Median

Range

Mode

45.

Ashley is comparing the distances that two electric cars can travel after the battery is fully charged. Based on the data, which car performs most consistently? Explain.

Car A because the measures of center are smaller for Car A than for Car B.

Car B because the measures of center are similar for Car B than for Car A.

Car A because the measure of variability is smaller for Car A than for Car B.

Car B because the measure of variability is smaller for Car B than for Car A.

46.