Probability and Two-Way Tables Answers

1

Free Preview

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

A

0.2

B

0.3

C

0.4

D

0.5

2

Free Preview

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.

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.

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.

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.

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.

3

Information about the students at Jackson High School is shown in the table.

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.

4

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

5

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.

6

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.

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).

7

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?

A

0.2

B

0.4

C

0.6

D

0.8

8

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

A

0.2

B

0.3

C

0.4

D

0.5

9

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.

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.

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.

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.

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.

10

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

A

The probability that a randomly selected adult chose Hawaii as the preferred destination is .

B

The probability that a randomly selected person who chose Hawaii as the preferred destination is a teenager is .

C

The probability that a randomly selected child chose Florida as the preferred destination is .

D

The probability that a randomly selected person who chose Mexico as the preferred destination is a child is .

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.

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

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.

A

A and X

B

A and Y

C

B and X

D

B and Y

13

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?

A

0.25

B

0.4

C

0.6

D

0.75

14

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.

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).

15