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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What type of compound event is flipping a coin 6 times?

Answer not available
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
5

What is P(red, then yellow)?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
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)
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 not available

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