AnswersSS Integrated Math IIB 2026Theoretical 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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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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Which is a pair of independent events?

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choosing one calendar date for sports practice and then choosing a back-up date
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choosing one card from a deck and then choosing one card from another deck
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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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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?

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spinning a spinner one time and then spinning it a second time
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flipping a quarter and then flipping a nickel
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removing a marble from a bag, not putting it back, and then removing a second marble
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rolling a number cube and then choosing one letter from the alphabet
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Spinning a 4-section spinner twice can be described as which type of event?

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

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Probability of Independent Events Answers — SS…