AnswersEAP-Algebra Functions and Data Analysis B CRTheoretical and Experimental Probability

Probability of Independent Events Answers

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

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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)?

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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.

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0.2
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0.3
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0.4
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0.5
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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).
5

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
6

Heather has a bag containing 4 marbles: 1 red, 1 blue, and 2 green. She draws 1 marble out of the bag, replaces it, and then draws another marble. What is P(red then blue then green)?

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

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

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Which is a pair of dependent events?

A
spinning a spinner one time and then spinning it a second time
B
flipping a quarter and then flipping a nickel
C
removing a marble from a bag, not putting it back, and then removing a second marble
D
rolling a number cube and then choosing one letter from the alphabet
10

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.
11

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

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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
12

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.
13

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

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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
14

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.

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A
0.2
B
0.3
C
0.4
D
0.5
15

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.
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Two tiles are drawn at the same time.
16

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
17

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
0
0.02
0
0.04
0
0.29
0
0.75
18

Which is a pair of dependent events?

A
spinning a spinner one time and then spinning it a second time
B
flipping a quarter and then flipping a nickel
C
removing a marble from a bag, not putting it back, and then removing a second marble
D
rolling a number cube and then choosing one letter from the alphabet
19

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

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