Unit Test Answers

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Bart found 20 quadrilaterals in his classroom. He made a Venn diagram using the properties of the quadrilaterals, comparing those with four equal side lengths (E) and those with four right angles (R).

25%

33%

40%

67%

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Alejandro surveyed his classmates to determine who has ever gone surfing and who has ever gone snowboarding. Let A be the event that the person has gone surfing, and let B be the event that the person has gone snowboarding.

A and B are independent events because P(A∣B) = P(A) = 0.16.

A and B are independent events because P(A∣B) = P(A) = 0.75.

A and B are not independent events because P(A∣B) = 0.16 and P(A) = 0.75.

A and B are not independent events because P(A∣B) = 0.75 and P(A) = 0.16.

The Venn diagram shows the number of patients seen at a pediatrician’s office in one week for colds, C, ear infections, E, and allergies, A.

Jillian has three different bracelets (X, Y, and Z) to give to her friends as gifts in any order she prefers. If bracelet Y is chosen first, in how many ways can Jillian give out the bracelets?

The diagram shows the number of children who have ever used motorized scooters, manual scooters, and/or bicycles.

motor ⋃ manual

motor ⋃ bicycle

motor ∩ manual

motor ∩ bicycle

A 5-column table has 4 rows. The first column has entries A, B, C, Total. The second column is labeled X with entries 10, 110, 60, 180. The third column is labeled Y with entries 80, 44, 59, 183. The fourth column is labeled Z with entries 61, 126, 110, 297. The fifth column is labeled Total with entries 151, 280, 229, 660.

Z and B are independent events because P(Z∣B) = P(Z).

Z and B are independent events because P(Z∣B) = P(B).

Z and B are not independent events because P(Z∣B) ≠ P(Z).

Z and B are not independent events because P(Z∣B) ≠ P(B).

Evaluate the expression.

60,480

362,874

Which events are mutually exclusive? Select two options.

landing on a shaded portion and landing on an even number

landing on a shaded portion and landing on a number greater than 3

landing on a shaded portion and landing on a 3

landing on an unshaded portion and landing on an odd number

landing on an unshaded portion and landing on a number less than 2

Which probabilities are correct? Select two options.

P(A|C) =

P(C|B) =

P(A) =

P(C) =

P(B|A) =

In a standard deck of cards there are 13 spades, 13 clubs, 13 hearts, and 13 diamonds. The spades and the clubs are black and the hearts and the diamonds are red.If two cards are chosen at random from a deck, one at a time, and replaced after each pick, what is the probability that a black card is chosen first and a heart is chosen second?

One-eighth

One-half

Two-thirds

Three-fourths

Consider the sets below.A {x|x is a polygon}B {x|x is a triangle}Which is true?

A ⊂ B

B ⊂ A

Ac = B

Bc = A

The spinner is equally likely to land on any of the six sections.

Two-ninths

One-half

Two-thirds

Five-sixths

Consider U = {x|x is a positive integer greater than 1}.Which is an empty set?

{x|x ∈ U and is prime}

{x|x ∈ U and 2x is prime}

{x|x ∈ U and can be written as a fraction}

{x|x ∈ U and 2x can be written as a fraction}

Pedro has determined that the probability his shot will score in a lacrosse game is 0.30.What is the probability that he will score on two consecutive shots?

0.09

0.15

0.30

0.60

James surveyed people at school and asked whether they bring their lunch to school or buy their lunch at school more often. The results are shown below.Bring lunch: 46 males, 254 femalesBuy lunch: 176 males, 264 females

P(buys lunch | male) = P(male) = 0.4.

P(male | buys lunch) = P(male) = 0.3.

P(buys lunch | male) = 0.3 and P(male) = 0.4.

P(male | buys lunch) = 0.4 and P(male) = 0.3.

Sonji bought a combination lock that opens with a four-digit number created using the digits 0 through 9. The same digit cannot be used more than once in the combination.If Sonji wants the last digit to be a 7 and the order of the digits matters, how many ways can the remaining digits be chosen?

504

3,024

60,480

Brent’s after-school game club has 12 members from which a six-member team is created. Miguel’s after-school sports club has 10 members from which a six-member team is created.Which student’s club has more possible combinations for his six-member team?

Brent’s club has more possible team combinations because he has fewer members on each team than Miguel’s does.

Brent’s club has more possible team combinations because there are more members to choose from.

Miguel’s club has more possible team combinations because there are fewer members in his club.

Miguel’s club has more possible team combinations because he has more members on each team than Brent does.

The cable company is analyzing the data from two satellite television providers to determine whether their users spend more time watching live television or shows that have been recorded.Satellite Company X: 89 live, 430 recordedSatellite Company Y: 65 live, 94 recorded

41%

59%

77%

83%

Will surveyed students at his school about whether they have ever gone snowboarding and whether they own a skateboard. He found that 35 of the 99 students who own a skateboard have snowboarded. Also, there were 13 students who have snowboarded but do not own a skateboard, and 147 students who have never gone snowboarding and do not own a skateboard.

A 4-column table has 3 rows. The first column has entries skateboard, no skateboard, total. The second column is labeled have snowboarded with entries 35, 64, 99. The third column is labeled never snowboarded with entries 13, 147, 160. The fourth column is labeled Total with entries 48, 211, 256.

A 4-column table has 3 rows. The first column has entries skateboard, no skateboard, total. The second column is labeled have snowboarded with entries 35, 13, 48. The third column is labeled never snowboarded with entries 99, 147, 246. The fourth column is labeled Total with entries 134, 160, 294.

A 4-column table has 3 rows. The first column has entries skateboard, no skateboard, total. The second column is labeled have snowboarded with entries 35, 13, 48. The third column is labeled never snowboarded with entries 64, 147, 211. The fourth column is labeled Total with entries 99, 160, 259.

A 4-column table has 3 rows. The first column has entries skateboard, no skateboard, total. The second column is labeled have snowboarded with entries 35, 99, 134. The third column is labeled never snowboarded with entries 13, 147, 160. The fourth column is labeled Total with entries 48, 246, 294.

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

0.4

0.5

0.7

0.8

Three out of seven students in the cafeteria line are chosen to answer survey questions.How many different combinations of three students are possible?

210

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?

0.25

0.4

0.6

0.75

Evaluate the expression.4! • 3!

144

5,040

Nadia’s bookshelf contains 10 fiction books, two reference books, and five nonfiction books.What is the probability that she randomly picks up a reference book and then, without replacing it, picks up a nonfiction book?

StartFraction 1 Over 289 EndFraction

StartFraction 10 Over 289 EndFraction

StartFraction 5 Over 136 EndFraction

One-tenth

If events A and B are independent, and the probability that event A occurs is 83%, what must be true?

The probability that event B occurs is 17%.

The probability that event B occurs is 83%.

The probability that event A occurs, given that event B occurs, is 83%.

The probability that event B occurs, given that event A occurs, is 83%.

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