AnswersSS Integrated Math IIB 2026Probability of Independent Events

Probability of Independent Events Answers

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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.
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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”?

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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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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.
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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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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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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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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
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best

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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).

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