Quiz about Unit 12 Test Study Guide (Probability)

Question 1

For SG Q1, what is the answer to part a?

Accepted Answer

{3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36}

Answer

{6, 12, 18, 24, 30, 36}

Answer

{18, 21, 24, 27, 30, 33, 36}

Answer

{3, 9, 15, 21, 27, 33}

Question 2

For SG Q1, what is the answer to part b?

Accepted Answer

{6, 12, 18, 24, 30, 36}

Answer

{3, 9, 15, 21, 27, 33}

Answer

{6, 12}

Answer

{12, 18, 24, 30, 36}

Question 3

For SG Q1, what is the answer to part c?

Accepted Answer

{18, 21, 24, 27, 30, 33, 36}

Answer

{3, 6, 9, 12, 15}

Answer

{21, 27, 33}

Answer

{15, 18, 21, 24, 27}

Question 4

For SG Q1, what is the answer to part d?

Accepted Answer

{3, 9, 15, 21, 27, 33}

Answer

{18, 24, 30, 36}

Answer

{21, 27, 33}

Answer

{3, 9, 15}

Question 5

For SG Q1, what is the answer to part e?

Accepted Answer

{3, 6, 9, 12, 15}

Answer

{18, 21, 24, 27, 30, 33, 36}

Answer

{6, 12, 18, 24, 30, 36}

Answer

{3, 9, 15}

Question 6

For SG Q1, what is the answer to part f?

Accepted Answer

{18, 24, 30, 36}

Answer

{6, 12, 18, 24}

Answer

{6, 12, 18, 21, 24, 27, 30, 33, 36}

Answer

{3, 6, 9, 12}

Question 7

For SG Q1, what is the answer to part g?

Accepted Answer

{6, 12, 18, 21, 24, 27, 30, 33, 36}

Answer

{3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36}

Answer

{18, 24, 30, 36}

Answer

{18, 21, 24, 27, 30, 33, 36}

Question 8

For SG Q2, what is the answer to part c?
How many boy scouts have a camping badge and a first aid badge?

Accepted Answer

8

Answer

22

Answer

16

Answer

11

Question 9

For SG Q4, what is the answer?
A date in the month of May and a letter in the word FLOWER are chosen at random. How many different outcomes are possible?

Accepted Answer

186

Answer

124

Answer

155

Answer

217

Question 10

For SG Q5, what is the answer?
Misha is rating an aerobics class. There are six categories and each category can be rated from one to four stars. How many ways can she rate the class?

Accepted Answer

4,096

Answer

1,296

Answer

24

Answer

144

Question 11

For SG Q6, what is the answer?
The spinner on the SG is spun twice, then a card from a standard deck is chosen at random. How many different outcomes are possible?

Accepted Answer

7,488

Answer

6,552

Answer

5,200

Answer

8,192

Question 12

For SG Q7, what is the answer?
If a letter in the word MATHEMATICIAN is chosen at random, what is the probability of choosing a vowel?

Accepted Answer

6/13 ; 0.462 ; 46.2%

Answer

5/13 ; 0.385 ; 38.5%

Answer

7/13 ; 0.538 ; 53.8%

Answer

4/13 ; 0.308 ; 30.8%

Question 13

For SG Q8, what is the answer?
A number from 1-30 is chosen at random. What is the probability that the number is a two-digit number and prime?

Accepted Answer

1/5

Answer

6/25

Answer

7/30

Answer

9/8

Question 14

For SG Q9, what is the answer?
If a card is selected at random from a standard deck, what is the probability that it is a face card or an 8?

Accepted Answer

16/52 = 4/13 ; 0.308 ; 30.8%

Answer

12/52 = 3/13 ; 0.231 ; 23.1%

Answer

15/52 = 0.288 ; 28.8%

Answer

13/52 = 0.25 ; 25%

Question 15

For SG Q10, what is the answer?
If a card is selected at random from a standard deck, what is the probability that it is an ace or a red card?

Accepted Answer

28/52 = 7/13 ; 0.538 ; 53.8%

Answer

26/52 = 1/2 ; 0.5 ; 50%

Answer

16/52 = 4/13 ; 0.308 ; 30.8%

Answer

14/52 = 7/26 ; 0.269 ; 26.9%

Question 16

For SG Q11, did you create a Venn Diagram?

Accepted Answer

Yes

Answer

No

Question 17

For SG Q12, part a, what is the answer?
Of the 125 students enrolled at a dance studio, 96 take ballet and 50 take jazz. Of those that take ballet, 28 also take jazz. If a dance student is chosen at random, find each probability. Give each answer as a fraction in simplest form. P(ballet or jazz)

Accepted Answer

118/125

Answer

96/125

Answer

50/125

Answer

78/125

Question 18

For SG Q12, part b, what is the answer?
If a dance student is chosen at random, find each probability. Give each answer as a fraction in simplest form. P(ballet but not jazz)

Accepted Answer

68/125

Answer

57/125

Answer

32/125

Answer

75/125

Question 19

For SG Q12, part c, what is the answer?
If a dance student is chosen at random, find each probability. Give each answer as a fraction in simplest form. P(neither ballet nor jazz)

Accepted Answer

7/125

Answer

5/25

Answer

12/125

Answer

1/25

Question 20

For SG Q13, part a, what is the answer? If a point is placed at random on AE below, find each probability as a fraction in simplest form.

Accepted Answer

7/16

Answer

23/48

Answer

5/16

Answer

11/48

Question 21

For SG Q13, part b, what is the answer?
If a point is placed at random on AE below, find each probability as a fraction in simplest form.

Accepted Answer

1/2

Answer

21/48

Answer

27/41

Answer

13/48

Question 22

For SG Q14, part a, what is the answer?
A shuttle bus arrives at a hotel every 40 minutes to take guests into town. If a guest walks out the door at a random time, find the probability of waiting at least 15 min.

Accepted Answer

25/40 = 5/8

Answer

10/40 = 1/4

Answer

15/40 = 3/8

Answer

30/40 = 3/4

Question 23

For SG Q14, part b, what is the answer? A shuttle bus arrives at a hotel every 40 minutes to take guests into town. If a guest walks out the door at a random time, find the probability of waiting no more than 10 min.

Accepted Answer

10/40 = 1/4

Answer

20/40 = 1/2

Answer

30/40 = 3/4

Answer

5/40 = 1/8

Question 24

For SG Q15 what is the answer?
A point in the figure below is chosen at random. Find the probability that the point lies in the shaded region. Give each answer as a percent.

Accepted Answer

44.6%

Answer

25.0%

Answer

60.0%

Answer

42.8%

Question 25

For SG Q17, part b, what is the answer? P(not red, then less than 7) =

Accepted Answer

21/40

Answer

11/20

Answer

7/10

Answer

20/23

Question 26

For SG Q18, what is the answer? A month of the year and number from 1-40 is chosen at random. What is the probability that the month begins with the letter A and the number is a perfect square?

Accepted Answer

1/40

Answer

1/10

Answer

1/6

Answer

13/40

Question 27

For SG Q20, part a, what is the answer? P(dime, then nickel) =

Accepted Answer

3/52

Answer

3/41

Answer

1/16

Answer

7/48

Answer

5/41

Question 28

For SG Q20, part b, what is the answer? P(quarter, then a penny) =

Accepted Answer

3/52

Answer

3/41

Answer

1/16

Answer

7/48

Answer

5/41

Question 29

For SG Q20, part c, what is the answer? P(both are not dimes) =

Accepted Answer

31/52

Answer

3/41

Answer

3/52

Answer

7/48

Answer

5/41

Question 30

For SG Q22, what is the answer?
A letter from the word BEEKEEPER is chosen at random, not replaced, then another letter is chosen. Probability of choosing a K then an E =

Accepted Answer

1/15

Answer

5/17

Answer

6/51

Answer

1/17

Question 31

For SG Q23, part a, what is the answer? A number from 1-50 is chosen at random. Find each probability as a fraction in simplest form. P(odd | less than 25)

Accepted Answer

1/2

Answer

1/3

Answer

3/5

Answer

2/5

Question 32

For SG Q23, part b, what is the answer?
A number from 1-50 is chosen at random. Find each probability as a fraction in simplest form. b) P(greater than 10 | even)

Accepted Answer

4/5

Answer

3/5

Answer

2/5

Answer

1/2

Question 33

For SG Q24, what is the answer? A letter in the grid below is chosen at random. What is the probability that the letter is in the word BASKETBALL, given that it landed in the shaded region? Hint: consider the repeated letters in the word

Accepted Answer

1/3

Answer

1/2

Answer

1/4

Answer

2/3

Question 34

For SG Q26, what is the answer?
Ryan pitched for his baseball team in 5/8th of the games, it rained for 3/10th of the games, and he pitched and it rained for 1/4th of the games. If a game is chosen at random, what is the probability that it rained, given that Ryan pitched?

Accepted Answer

0.4

Answer

0.5

Answer

0.3

Answer

0.6

Question 35

For SG Q27, did you draw the Venn Diagram?

Accepted Answer

Yes

Answer

No

Question 36

For SG Q28, what is the answer?
If a scholarship applicant is chosen at random, find the probability that they are taking advanced classes, given that they do not have at least a 3.0 GPA.

Accepted Answer

0.706

Answer

0.250

Answer

0.412

Answer

0.589

Question 37

For SG Q29, did you complete the table?

Accepted Answer

Table completed.

Answer

Table not completed.

Question 38

For SG Q30, did you create a relative frequency table by filling in all joint and marginal relative frequencies?

Accepted Answer

Yes

Answer

No

Question 39

For SG Q32, what is the answer? What percent of those surveyed do not have brown eyes?

Accepted Answer

24%

Answer

36%

Answer

50%

Answer

12%

Question 40

For SG Q33, what is the answer?
What percent of those surveyed are boys with blue eyes?

Accepted Answer

11.2%

Answer

5.6%

Answer

20.4%

Answer

8.3%

Question 41

For SG Q34, what is the answer? What percent of those surveyed have brown or green eyes?

Accepted Answer

80.4%

Answer

65.2%

Answer

72.9%

Answer

54.7%

Question 42

For SG Q35, part a, what is the answer?
A bag contains three different colored marbles: red, blue, and green. Of these, some are solid, and some are striped. If one of the marbles is chosen at random, find each probability. P(green)

Accepted Answer

7/20

Answer

23/60

Answer

0.39

Answer

42%

Question 43

For SG Q35, part b, what is the answer?
A bag contains three different colored marbles: red, blue, and green. Of these, some are solid, and some are striped. If one of the marbles is chosen at random, find each probability. P(solid or blue)=

Accepted Answer

7/10

Answer

43/60

Answer

0.73

Answer

67%

Question 44

For SG Q35, part c, what is the answer?
A bag contains three different colored marbles: red, blue, and green. Of these, some are solid, and some are striped. If one of the marbles is chosen at random, find each probability. P(striped | green)

Accepted Answer

4/7

Answer

13/21

Answer

0.591

Answer

47.1%

Question 45

For SG Q35, part d, what is the answer?
A bag contains three different colored marbles: red, blue, and green. Of these, some are solid, and some are striped. If one of the marbles is chosen at random, find each probability. P(not blue | solid)=

Accepted Answer

19/27

Answer

0.441

Answer

80.4%

Answer

22/43

Question 46

For SG Q36, what is the answer?
The number of ways that 18 runners can win first, second, and third place.

Accepted Answer

4896

Answer

306

Answer

4698

Answer

5832

Question 47

For SG Q38, what is the answer? The number of ways to arrange the letters in the word JOURNEY.

Accepted Answer

5040

Answer

720

Answer

40320

Answer

2520

Question 48

For SG Q39, what is the answer? The number of ways to create a 4-person committee from a group of 25 people.

Accepted Answer

12,650

Answer

10,023

Answer

15,600

Answer

20,040

Question 49

For SG Q40, what is the answer? The number of ways to form a 12-person jury from a pool of 40 potential jurors.

Accepted Answer

5,586,853,480

Answer

1,307,504,000

Answer

12,103,014,400

Answer

3,838,380,800

Question 50

For SG Q41, what is the answer? The number of 6-digit passcodes possible using the digits 1-8 if digits cannot repeat.

Accepted Answer

20160

Answer

19255

Answer

24512

Answer

26780

Question 51

For SG Q42, what is the answer? A class contains 12 girls and 16 boys. If a group of 5 people is formed from this class, what is the probability that they are all boys?

Accepted Answer

2/45

Answer

1/13

Answer

4/91

Answer

1/20

Question 52

For SG Q43, what is the answer? To enter a video call with their teacher, each student must enter a unique passcode that begins with 3 capital letters that do not repeat. What is the probability that a student's passcode begins with ABC?

Accepted Answer

1/15,600

Answer

1/1,000

Answer

1/26

Answer

1/6,500

Question 53

For SG Q44, what is the answer? There are 30 calculators numbered 1-30 in a case. If 4 of the calculators are broken, what is the probability that the numbers on the broken calculators are at least 16?

Accepted Answer

65/261

Answer

10/143

Answer

15/221

Answer

20/325

Question 54

For SG Q45, what is the answer?
Laura is filling three empty photo frames on her mantle by randomly using individual pictures of her eight grandchildren. If Ben is her grandson, what is the probability that his picture is used in the middle frame?

Accepted Answer

1/8

Answer

1/3

Answer

1/6

Answer

1/2

Unit 12 Test Study Guide (Probability)

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