Unit Test — Unit test Answers

20 verified answers2 views
3

A bag contains 10 red marbles, 15 yellow marbles, 5 green marbles, and 20 blue marbles. Two marbles are drawn from the bag.Which expression represents the probability that one of the marbles is red and the other is blue?

A
StartFraction 30 P 2 Over 50 P 2 EndFraction
Option A
B
StartFraction 30 C 2 Over 50 C 2 EndFraction
Option B
C
StartFraction (10 C 1) (20 C 1) Over 50 C 2 EndFraction
Option C
D
StartFraction (10 P 1) (20 P 1) Over 50 P 2 EndFraction
Option D
5

Circle B is inside of circle A.

Question illustration
A
A = {states in the US}; B = {world countries}
B
A = {plays by Shakespeare}; B = {playwrights}
C
A = {animals}; B = {mammals}
D
A = {polygons}; B = {circles}
6

A burrito restaurant recorded 200 customer orders. Each order was categorized by whether it was takeout or dine-in and whether it was placed on a weekday or a weekend.The results are shown below: Using this table, decide which statement about independence is true. Which statement is correct?

Question illustration
A
The events “takeout” and “weekday” are independent.
B
The events “weekday” and “weekend” are independent.
C
The events “order type” (takeout or dine-in) and “day of the week” (weekday or weekend) are not independent.
D
The events “takeout” and “dine-in” are independent.
7

Ariana, Boris, Cecile, and Diego are students in the service club. Three of the four students will be chosen to attend a conference.Which choice represents the sample space, S, for this event?

A
S = {ABC, ABD, ACD, BCD}
B
S = {ABC, BCA, CDA, DAC}
C
S = {ABC, ABD, BAC, BDA, ACD, ADC, BCD, BDC}
D
S = {ABC, ABD, ACD, BCA, BCD, BDC, CAB, CBD, DAC, DBC}
8

three

S
S = {1, 2, 3, 4, 5, 6}
I
If A is a subset of S, A could be {0, 1, 2}.
I
If A is a subset of S, A could be {5, 6}.
I
If a subset A represents the complement of rolling a 5, then A = {1, 2, 3, 4, 6}.
I
If a subset A represents the complement of rolling an even number, then A = {1, 3}.
14

Belleville High School offers classes on three different foreign languages. Let A be the event that a student is in eleventh grade, and let B be the event that a student is enrolled in French class.

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).
16

Which statements are true? Select three options.

A
P(F|C) = 0.75
B
P(C|F) = 0.25
C
P(C∩F) = 0.09
D
P(C∩F) = P(F∩C)
E
P(C|F) = P(F|C)
17

A bag contains 10 red marbles, 15 yellow marbles, 5 green marbles, and 20 blue marbles. Five marbles are drawn from the bag.What is the approximate probability that exactly two of the five are blue?

A
1%
B
4%
C
36%
D
40%
18

Two boys and three girls are auditioning to play the piano for a school production. Two students will be chosen, one as the pianist, the other as the alternate.What is the probability that the pianist will be a boy and the alternate will be a girl? Express your answer as a percent.

A
30%
B
40%
C
50%
D
60%
19

Two unique letters are chosen at random from the alphabet.What is the approximate probability that the first letter chosen is A?

A
0.0385
B
0.0400
C
0.0769
D
0.0800

Did you find these answers helpful?