AnswersSS Integrated Math IIB 2026Probability of Independent Events

Probability of Independent Events Answers

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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.

Question illustration
A
0.2
B
0.3
C
0.4
D
0.5
2
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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.

Question illustration
A
0.02
B
0.04
C
0.29
D
0.75
3

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
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)?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

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.
6

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

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

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.
8

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

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
10

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)?

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

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