AnswersConcepts in Probability and Statistics AIndependent and Mutually Exclusive Events

Independent and Mutually Exclusive Events Answers

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A bag contains eleven equally sized marbles, which are numbered.

Question illustration
A
Two-elevenths
Option A
B
Three-elevenths
Option B
C
Five-elevenths
Option C
D
Six-elevenths
Option D
2
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Under the best conditions, a sprout has a 40% probability of blooming.If two sprouts are selected at random, what is the probability that both will bloom, under the best conditions?

A
16 percent
B
24 percent
C
40 percent
D
80 percent
3

All freshmen, sophomores, juniors, and seniors attended a high school assembly. The total student attendance is shown in the table.

Question illustration
A
StartFraction 11 Over 320 EndFraction
Option A
B
StartFraction 3 Over 80 EndFraction
Option B
C
StartFraction 11 Over 40 EndFraction
Option C
D
Two-fifths
Option D
4

A six-sided number cube is rolled twice.What is the probability that the first roll is an even number and the second roll is a number greater than 4?

A
One-sixth
Option A
B
One-third
Option B
C
Two-thirds
Option C
D
Five-sixths
Option D
5

The people who responded to a survey reported that they had either brown, green, blue, or hazel eyes. The results of the survey are shown in the table.

Question illustration
A
StartFraction 3 Over 25 EndFraction
Option A
B
StartFraction 7 Over 25 EndFraction
Option B
C
StartFraction 13 Over 25 EndFraction
Option C
D
StartFraction 17 Over 25 EndFraction
Option D
6

Which scenario depicts two independent events?

A
The school play opens tonight and it is raining.
B
Neva is hungry and she buys a snack from the concession stand.
C
Ari chooses a partner for a group project and then Ezekial chooses a partner from the remaining classmates.
D
Luka paints during school and he stains his shirt.
7

A month of the year is chosen at random. What is the probability that the month starts with the letter J or the letter M?

A
StartFraction 5 Over 24 EndFraction
Option A
B
One-sixth
Option B
C
One-fourth
Option C
D
Five-twelfths
Option D
8

A bag contains eleven equally sized marbles, which are numbered. Two marbles are chosen at random and replaced after each selection.

Question illustration
A
StartFraction 10 Over 121 EndFraction
Option A
B
StartFraction 24 Over 121 EndFraction
Option B
C
StartFraction 6 Over 11 EndFraction
Option C
D
StartFraction 10 Over 11 EndFraction
Option D
9

A bicycle manufacturer is studying the reliability of one of its models. The study finds that the probability of a brake defect is 4 percent and the probability of both a brake defect and a chain defect is 1 percent.If the probability of a defect with the brakes or the chain is 6 percent, what is the probability of a chain defect?

A
1.5 percent
B
2 percent
C
2.5 percent
D
3 percent
10

The Hawaiian language has 12 letters: five vowels and seven consonants. Each of the 12 Hawaiian letters are written on a slip of paper and placed in the bag. A letter is randomly chosen from the bag and then replaced. Then, a second letter is randomly chosen from the bag.What is the probability that two vowels are chosen?

A
StartFraction 5 Over 72 EndFraction
Option A
B
StartFraction 25 Over 144 EndFraction
Option B
C
StartFraction 7 Over 12 EndFraction
Option C
D
Five-sixths
Option D

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