Probability and Two-Way Tables Answers

10 verified answers1 views
2
Free Preview

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)
6

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
8

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
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

Twenty-five bakery customers were surveyed to determine if they like cake or pie. The results are shown in the Venn diagram.

Question illustration
A
Two-sevenths
Option A
B
Two-fifths
Option B
C
Four-sevenths
Option C
D
Four-fifths
Option D
13

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%
14

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
15

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
16

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%
17

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
18

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%
19

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)
20

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%

Did you find these answers helpful?