7.3 Probability: Independent and Dependent Events Lesson

What defines an event as independent in the context of pulling marbles from a bag?

• When the color of the marble affects the outcome

• When different bags of marbles are used for each event

• When the same number of marbles is present for both events

• When the outcome of the first event affects the second event

What is the probability of pulling a white marble twice in a row, with replacement?

• 2/15

• 4/25

• 4/10

• 1/25

What is the probability of pulling a black marble twice in a row, with replacement?

• 1/20

• 1/25

• 2/10

• 1/45

How does the probability change when you do not replace the first marble after pulling it?

• It doubles

• It decreases

• It increases

• It remains the same

What is the probability of pulling a black marble followed by a white marble, without replacement?

• 1/45

• 2/25

• 8/45

• 4/45

In the context of the marble example, what signifies a dependent event?

• Replacing the marble after each pull

• Changing the color of the marbles

• Not replacing the marble after the first pull

• Using a different bag of marbles for each event

What is the probability of pulling a black marble followed by another black marble, without replacement?

• 4/45

• 1/25

• 2/25

• 1/45

What is the probability of pulling a white marble followed by a striped marble, with replacement?

• 1/25

• 4/25

• 2/15

• 8/45

What is the probability of pulling a white then a striped marble, without replacement?

• 2/15

• 1/25

• 4/25

• 8/45

How does the denominator change in dependent events?

• It decreases by 1

• It remains the same

• It increases by 1

• It doubles