AnswersCR CCSS Math 2 S2 M2960OXProbability of Independent Events

Probability of Independent Events Answers

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21
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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
22
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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?

Question illustration
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).
23

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

Question illustration
A
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
24

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)?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
25

Juan rolls a 6-sided number cube 4 times. Each time, the result is 2. Which best describes the events?

A
Dependent: Each outcome was the same. Simple: One single number cube was rolled.
B
Independent: Each outcome is unaffected by previous outcomes. Simple: One single number cube was rolled.
C
Dependent. Each outcome was the same. Compound: Multiple events occurred.
D
Independent: Each outcome was unaffected by previous outcomes. Compound: Multiple events occurred.
26

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
0
0.02
0
0.04
0
0.29
0
0.75
27

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.
28

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)?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
29

Events A and B are independent. The probability of A occurring is . The probability of B occurring is . What is P(A and B)?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D

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