AnswersCR CCSS Math 2 S2 M2960OXProbability of Independent Events

Probability of Independent Events Answers

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1
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Which statement correctly describes dependent events?

A
Two events are dependent if they have no outcomes in common and cannot occur at the same time.
B
Two events are dependent if they have outcomes in common and can occur at the same time.
C
Two events are dependent if the outcome of the first event does not affect the outcome of the second event.
D
Two events are dependent if the outcome of the first event affects the outcome of the second event.
2
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Sample Response: The student’s logic is incorrect. A coin being flipped 6 times is 6 independent events because the outcome of one flip of the coin does not affect the outcome of another flip. The probability of the next flip landing on heads is still 1/2. What type of compound event is flipping a coin 6 times?The student is incorrect. Flipping a coin 6 times is 6 independent events.Independent events are events in which the outcome of one event does not affect the outcome of another.The probabi

A
The student is incorrect.
B
Flipping a coin 6 times is 6 independent events.
C
Independent events are events in which the outcome of one event does not affect the outcome of another.
D
The probability of the next flip landing on heads is still one-half.
3

Which events are independent? Check all that apply.

A
rolling two number cubes at the same time
B
choosing a card, and then flipping a coin
C
choosing a first, second, and third place winner
D
drawing a name from a hat, keeping it, then drawing another name
E
drawing a marble from a bag, replacing it, then drawing another marble
F
flipping the same coin three times
4

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Answer:

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5

What is P(red, then yellow)?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

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Answer:

89885

7

Andrea rolls a number cube twice. She determines P(even, then odd) = . Which statements are accurate? Check all that apply.

Question illustration
A
Andrea’s solution is incorrect.
B
The total number of possible outcomes is 12.
C
The probability of each simple event is .
Option C
D
There are three possible outcomes on each number cube.
E
The probability of the compound event is less than the probability of either event occurring alone.
F
P(even, then odd) = P(odd, then even)
8

A bag contains a variety of different-colored marbles. If P(red) = , P(green) = , and P(red and green) = , which statement is true?

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Answer not available
9

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Answer:

89890

10

For an in-class demonstration, a teacher flips a fair coin 5 times, and each of the 5 times it lands on heads. A student argues that it is more likely to land on tails on the next, or 6th, flip. Is the student correct? Explain your reasoning.

Answer:

No, the student is not correct. Each flip of a fair coin is an independent event, so the outcome of previous flips does not affect the next flip. The probability of landing on tails (or heads) on the 6th flip is still 1/2.

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