AnswersSS Integrated Math IIB 2026Probability of Independent Events

Probability of Independent Events Answers

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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
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removing a vowel or a consonant
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removing a consonant, replacing it, and then removing another consonant
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removing a consonant, replacing it, and then removing a vowel
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Marco has a bag of red, blue, and green tiles. Which set of events would be considered independent?

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

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They are independent because P(X) · P(Y) = P(X and Y).
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They are independent because P(X) + P(Y) = P(X and Y).
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They are dependent because P(X) · P(Y) = P(X and Y).
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They are dependent because P(X) + P(Y) = P(X and Y).
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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.
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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.
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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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The theoretical probability of a couple having a baby girl is . What is P(girl, girl, girl)?

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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 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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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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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.

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0.02
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0.04
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0.29
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0.75

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