AnswersCR CCSS Math 2 S2 M2960OXProbability of Independent Events

Probability of Independent Events Answers

16 verified answers1 views
1
Free Preview

Spinning a 4-section spinner twice can be described as which type of event?

A
It is an independent event. The outcome of the second spin is unaffected by the outcome of the first spin.
B
It is a dependent event. The outcome of the second spin is affected by the outcome of the first spin.
C
It is a simple event. Spinning a spinner is a single event.
D
It is an impossible event. A spinner cannot land in two sections.
2
Free Preview

A spinner has 4 equal-sized sections labeled A, B, C, and D. It is spun and a fair coin is tossed. What is the probability of spinning "C” and flipping "heads”?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
3

A spinner has three equal sections labeled 1, 2, and 3. It is spun twice. Which expression can be used to determine P(2, then 1)?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

Marco has a bag of red, blue, and green tiles. Which set of events would be considered independent?

A
A tile is drawn and replaced, and then a second tile is drawn.
A
A tile is drawn and removed, and then a second tile is drawn.
A
A red or blue or green tile is drawn.
T
Two tiles are drawn at the same time.
5

The theoretical probability of a couple having a baby girl is . What is P(girl, girl, girl)?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

Two events, X and Y, are independent of each other. P(Y)= and P(X and Y)=. What is P(X) written as a decimal? Round to the nearest tenth, if necessary.

Question illustration
A
0.2
B
0.3
C
0.4
D
0.5
7

Events A and B are independent. The probability of A occurring is . The probability of B occurring is . What is P(A and B)?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

Leona has a bag containing lettered tiles. Which describes dependent events?

A
removing a vowel, not replacing it, and then removing another vowel
B
removing a vowel or a consonant
C
removing a consonant, replacing it, and then removing another consonant
D
removing a consonant, replacing it, and then removing a vowel
9

Which is a pair of independent events?

A
choosing one calendar date for sports practice and then choosing a back-up date
B
choosing one card from a deck and then choosing one card from another deck
C
choosing a pen to write with in class and then choosing another to let a friend use
D
choosing a first place and then a second place work of art
10

best

Question illustration
T
They are independent because P(X) · P(Y) = P(X and Y).
T
They are independent because P(X) + P(Y) = P(X and Y).
T
They are dependent because P(X) · P(Y) = P(X and Y).
T
They are dependent because P(X) + P(Y) = P(X and Y).
11

A coin is flipped, then a number cube is rolled. The tree diagram shows the possible outcomes.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
12

A coin is flipped, then a number cube is rolled. The tree diagram shows the possible outcomes.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

Which is a pair of independent events?

A
choosing one calendar date for sports practice and then choosing a back-up date
B
choosing one card from a deck and then choosing one card from another deck
C
choosing a pen to write with in class and then choosing another to let a friend use
D
choosing a first place and then a second place work of art
14

Spinning a 4-section spinner twice can be described as which type of event?

A
It is an independent event. The outcome of the second spin is unaffected by the outcome of the first spin.
B
It is a dependent event. The outcome of the second spin is affected by the outcome of the first spin.
C
It is a simple event. Spinning a spinner is a single event.
D
It is an impossible event. A spinner cannot land in two sections.
15

The theoretical probability of a couple having a baby girl is . What is P(girl, girl, girl)?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
16

Two events, A and B, are independent of each other. P(A)= and P(A and B)=. What is P(B) written as a decimal? Round to the nearest hundredth, if necessary.

Question illustration
A
0.02
B
0.04
C
0.29
D
0.75
17

Juan rolls a 6-sided number cube 4 times. Each time, the result is 2. Which best describes the events?

D
Dependent: Each outcome was the same. Simple: One single number cube was rolled.
I
Independent: Each outcome is unaffected by previous outcomes. Simple: One single number cube was rolled.
D
Dependent. Each outcome was the same. Compound: Multiple events occurred.
I
Independent: Each outcome was unaffected by previous outcomes. Compound: Multiple events occurred.
18

A box contains different-colored marbles. If P(blue) = , P(green) = , and P(blue and green) = , which statement is true?

Question illustration
A
The events are independent because P(blue) P(green) = P(blue and green).
Option A
B
The events are independent because P(blue) P(green) P(blue and green).
Option B
C
The events are dependent because P(blue) P(green) = P(blue and green).
Option C
D
The events are dependent because P(blue) P(green) P(blue and green).
Option D
19

Two events, X and Y, are independent of each other. P(Y)= and P(X and Y)=. What is P(X) written as a decimal? Round to the nearest tenth, if necessary.

Question illustration
A
0.2
B
0.3
C
0.4
D
0.5
20

Leona has a bag containing lettered tiles. Which describes dependent events?

r
removing a vowel, not replacing it, and then removing another vowel
r
removing a vowel or a consonant
r
removing a consonant, replacing it, and then removing another consonant
r
removing a consonant, replacing it, and then removing a vowel

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Pre-Test

Quiz
7 verified answers

Probability of Independent Events

Quiz
7 verified answers

Conditional Probability