AnswersFall 24 GMS Geometry Concepts and Connections BProbability and Two-Way Tables

Probability and Two-Way Tables Answers

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Mr. Carandang sold a total of 1,790 prints of one of his drawings. Out of all 1,273 unframed prints that he sold, 152 were small and 544 were medium-sized. Out of all of the framed prints that he sold, 23 were small and 42 were extra large. Of the large prints that he sold, 188 were framed and 496 were unframed. SmallMediumLargeExtra LargeTotalFramed 23 264 188 42 ?Unframed 152 544 496 81 1,273Total 175 808 684 123 1,790

A
329
B
475
C
517
D
1,034
2
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Information about the students at Jackson High School is shown in the table.

Question illustration
A
Out of the 352 eleventh graders at the school, 173 of them are girls.
B
Out of the 511 boys at the school, 150 of them are tenth graders.
C
Out of the 523 tenth graders at the school, 173 of them are boys.
D
Out of the 376 girls at the school, 182 of them are eleventh graders.
3

The two-way table shows the preferred vacation destination for people in different age groups.Which statement is true?

Question illustration
A
The probability that a randomly selected adult chose Hawaii as the preferred destination is .
Option A
B
The probability that a randomly selected person who chose Hawaii as the preferred destination is a teenager is .
Option B
C
The probability that a randomly selected child chose Florida as the preferred destination is .
Option C
D
The probability that a randomly selected person who chose Mexico as the preferred destination is a child is .
Option D
4

The two-way table shows the ages of the players on different soccer teams.Which statement is true?

Question illustration
A
The probability that a randomly selected player on Team A is 8 years old is .
Option A
B
The probability that a randomly selected 8-year-old player is on Team C is .
Option B
C
The probability that a randomly selected player on Team C is 10 years old is .
Option C
D
The probability that a randomly selected 10-year-old player is on Team B is .
Option D
5

A 5-column table has 4 rows. The first column has entries A, B, C, Total. The second column is labeled X with entries 45, 20, 25, 90. The third column is labeled Y with entries 30, 10, 35, 75. The fourth column is labeled Z with entries 60, 25, 50, 135. The fifth column is labeled Total with entries 135, 55 110, 300.

Question illustration
A
C and Y are independent events because P(C∣Y) = P(Y).
B
C and Y are independent events because P(C∣Y) = P(C).
C
C and Y are not independent events because P(C∣Y) ≠ P(Y).
D
C and Y are not independent events because P(C∣Y) ≠ P(C).
6

The two-way table shows the number of houses on the market in the Castillos’ price range.What is the probability that a randomly selected house with 2 bathrooms has 3 bedrooms?

Question illustration
A
0.2
B
0.4
C
0.6
D
0.8
7

Find P(Y|B) from the information in the table.

Question illustration
A
0.2
B
0.3
C
0.4
D
0.5
8

Information about a shipment of mirrors to a local store is shown.

Question illustration
A
68
B
78
C
164
D
208
9

A 5-column table has 4 rows. The first column has entries A, B, C, Total. The second column is labeled X with entries 15, 5, 30, 50. The third column is labeled Y with entries 5, 8, 15, 28. The fourth column is labeled Z with entries 10, 7, 5, 22. The fifth column is labeled Total with entries 30, 20, 50, 100.

Question illustration
A
A and X
B
A and Y
C
B and X
D
B and Y
10

For the soccer banquet, the players and their family members selected their favorite main dish and side dish. Of the 39 people who chose chicken as the main dish, 18 wanted potatoes. Of the 32 people who chose rice as a side dish, 6 chose fish as a main dish. A total of 8 people chose a vegetarian meal with potatoes, and a total of 10 people chose fish as their main dish.

Question illustration
A
A 5-column table has 3 rows. The first column has entries Rice, Potatoes, Total. The second column is labeled Chicken with entries 18, 21, 39. The third column is labeled Fish with entries 4, 6, 10. The fourth column is labeled Vegetarian with entries 8, 5, 13. The fifth column is labeled total with entries 30, 32, 62.
Option A
B
A 5-column table has 3 rows. The first column has entries Rice, Potatoes, Total. The second column is labeled Chicken with entries 21, 18, 39. The third column is labeled Fish with entries 6, 4, 10. The fourth column is labeled Vegetarian with entries 5, 8, 13. The fifth column is labeled total with entries 32, 30, 62.
Option B
C
A 5-column table has 3 rows. The first column has entries Rice, Potatoes, Total. The second column is labeled Chicken with entries 14, 18, 32. The third column is labeled Fish with entries 6, 4, 10. The fourth column is labeled Vegetarian with entries 19, 8, 27. The fifth column is labeled total with entries 39, 30, 69.
Option C
D
A 5-column table has 3 rows. The first column has entries Rice, Potatoes, Total. The second column is labeled Chicken with entries 18, 14, 32. The third column is labeled Fish with entries 4, 6, 10. The fourth column is labeled Vegetarian with entries 8, 19, 27. The fifth column is labeled total with entries 30, 39, 69.
Option D
11

Information about the recycling drive at school is shown in the table. Let A be the event that the item pulled out of the recycling bin is a plastic bottle, and let B be the event that a tenth grader recycled that item.

Question illustration
A
A and B are independent events because P(A∣B) = P(A).
B
A and B are independent events because P(A∣B) = P(B).
C
A and B are not independent events because P(A∣B) ≠ P(A).
D
A and B are not independent events because P(A∣B) ≠ P(B).
12

The two-way table shows the number of books of each type in Eliza’s home.What is the probability that a randomly selected reference book is hardcover?

Question illustration
A
0.25
B
0.4
C
0.6
D
0.75
13

The two-way table shows the estimated number of students who will enroll in three area high schools next year.

Question illustration
A
0.2
B
0.3
C
0.4
D
0.5
14

A survey was taken of children between the ages of 7 and 12. Let A be the event that the person rides the bus to school, and let B be the event that the person has 3 or more siblings.Which statement is true about whether A and B are independent events?

Question illustration
A
A and B are independent events because P(A∣B) = P(A) = 0.12.
B
A and B are independent events because P(A∣B) = P(A) = 0.25.
C
A and B are not independent events because P(A∣B) = 0.12 and P(A) = 0.25.
D
A and B are not independent events because P(A∣B) = 0.375 and P(A) = 0.25.
15

The two-way table shows the medal count for the top-performing countries in the 2012 Summer Olympics.Which statement is true?

Question illustration
T
The probability that a randomly selected silver medal was awarded to Great Britain is .
Option T
T
The probability that a randomly selected medal won by Russia was a bronze medal is .
Option T
T
The probability that a randomly selected gold medal was awarded to China is .
Option T
T
The probability that a randomly selected medal won by the United States was a silver medal is .
Option T
16

Which statements are true? Select three options.

A
Milk was requested for 16 of the large-sized meal orders.
B
Soda was requested for 280 of the kids’ meal orders.
C
A juice box was requested for 82 of the regular-sized meal orders.
D
Sixty-three of the orders of soda came with a regular-sized meal.
E
A total of 124 large-sized meals were ordered.

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