AnswersCR CCSS Math 2 S2 M2960OXProbability of Independent Events

Conditional Probability Answers

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1
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A hat contains slips of paper with the names of the 26 other students in Eduardo’s class on them, 10 of whom are boys. To determine his partners for the group project, Eduardo has to pull two names out of the hat without replacing them.

A
StartFraction 9 Over 65 EndFraction
Option A
B
StartFraction 24 Over 65 EndFraction
Option B
C
StartFraction 64 Over 169 EndFraction
Option C
D
StartFraction 128 Over 325 EndFraction
Option D
2
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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?

A
StartFraction 1 Over 289 EndFraction
Option A
B
StartFraction 10 Over 289 EndFraction
Option B
C
StartFraction 5 Over 136 EndFraction
Option C
D
One-tenth
Option D
3

Hiro has a stack of cards with one number from the set 1, 1, 2, 2, 3, 3, 3, 4 written on each card.What is the probability that he pulls out a 3 first and then pulls out a 2 without replacing them?

A
StartFraction 1 Over 64 EndFraction
Option A
B
StartFraction 1 Over 56 EndFraction
Option B
C
StartFraction 3 Over 32 EndFraction
Option C
D
StartFraction 3 Over 28 EndFraction
Option D
4

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

A
The probability that event B occurs is 17%.
B
The probability that event B occurs is 83%.
C
The probability that event A occurs, given that event B occurs, is 83%.
D
The probability that event B occurs, given that event A occurs, is 83%.
5

In the drawing, six out of every 10 tickets are winning tickets. Of the winning tickets, one out of every three awards is a larger prize.What is the probability that a ticket that is randomly chosen will award a larger prize?

A
Two-fifteenths
Option A
B
One-fifth
Option B
C
Five-ninths
Option C
D
Five-sixths
Option D
6

If events A and B are independent, what must be true?

A
P(A|B) = P(B)
B
P(A|B) = P(A)
C
P(A) = P(B)
D
P(A|B) = P(B|A)
7

Twenty-two percent of the large pieces of mail that Rachel received this week were magazines and the rest were catalogs. Of the catalogs, 36 percent were for clothing.To the nearest whole percent, what is the probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog?

A
8%
B
28%
C
46%
D
61%
8

Lori downloaded all the pictures she took at Rita’s wedding into a single computer folder. She took 86 of the 134 pictures with her camera and the remainder of them with her cell phone. Of the pictures Lori took with her cell phone, one out of every five was blurry.

A
7%
B
13%
C
31%
D
56%
9

Lola pulls two marbles from a bag containing four red marbles, four blue marbles, and 12 yellow marbles without replacing them.What is the probability that she pulled out a red marble first and a yellow marble second? Express your answer in decimal form, rounded to the nearest hundredth.

A
0.09
B
0.13
C
0.25
D
0.32
10

Seventy-five percent of the flowers in the arrangement are roses and the rest are tulips. Of the tulips, 50 percent are pink.To the nearest whole percent, what is the probability that a randomly chosen flower from the arrangement is a pink tulip?

A
13%
B
38%
C
50%
D
67%
11

Use the Venn diagram to calculate probabilities.

Question illustration
A
P(A|B) =
Option A
B
P(B|A) =
Option B
C
P(A|C) =
Option C
D
P(C|A) =
Option D
12

A survey of the 12th grade students at Gaffigan High School found that 84% of the seniors have their driver’s licenses, 16% of seniors take the bus every day to school, and 14% of the seniors have driver’s licenses and take the bus to school every day.

A
17%
B
19%
C
36%
D
70%
13

Use the Venn diagram to calculate probabilities.

Question illustration
A
P(A) =
Option A
B
P(B) =
Option B
C
P(A|B) =
Option C
D
P(B|A) =
Option D

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