AnswersINMT2 Integrated Math 2 Sem 2 26-27Volume of Cylinders, Cones, and Spheres

Probability of Independent Events Answers

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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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Option A
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Option B
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Option C
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Consider a situation in which P(X) = and P(Y) = . If P(X and Y) is = , which best describes the events?

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A
They are independent because P(X) · P(Y) = P(X and Y).
B
They are independent because P(X) + P(Y) = P(X and Y).
C
They are dependent because P(X) · P(Y) = P(X and Y).
D
They are dependent because P(X) + P(Y) = P(X and Y).
3

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
4

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

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Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

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.
B
A tile is drawn and removed, and then a second tile is drawn.
C
A red or blue or green tile is drawn.
D
Two tiles are drawn at the same time.
6

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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Option A
B
Option
Option B
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Option C
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Option
Option D
7

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
8

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.
9

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
10

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

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Probability of Independent Events Answers —…