AnswersCR CCSS Math 2 S2 M2960OXProbability of Independent Events

Probability of Independent Events Answers

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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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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
3

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.
4

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

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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
9

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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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

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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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
B
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Option B
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Option
Option C
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Option D
13

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

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Option D
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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).
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.
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.
16

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

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