Independent and Dependent Probability Challenge

What does it mean when probabilities are independent?

• The events share the same outcomes.

• Both events must occur simultaneously.

• The outcome of one event does not affect the outcome of another.

• The outcome of one event affects the outcome of another.

In a dependent probability scenario, what happens to the denominator after the first event?

• It increases.

• It decreases.

• It remains the same.

• It resets to its original value.

If you have three blue marbles and draw one, what is the new probability of drawing another blue marble from seven remaining?

• 3/8

• 1/7

• 2/7

• 3/7

What is the effect of not replacing a marble on the probability of subsequent draws?

• Resets the probability

• Increases the probability

• Decreases the probability

• No effect

How do you calculate the combined probability of two dependent events?

• Add the probabilities

• Divide the probabilities

• Multiply the probabilities

• Subtract the probabilities

What is the probability of drawing two blue marbles in a row, given the scenario in the video?

• 1/4

• 3/28

• 2/7

• 15/64

What does replacing a marble in a drawing scenario signify?

• Both

• Neither

• Independent probability

• Dependent probability

How does the denominator change in independent probability scenarios?

• It increases

• It remains constant

• It resets after each event

• It decreases

What is the probability of drawing a red marble and then a blue marble, replacing after each draw?

• 15/64

• 3/28

• 1/4

• 2/7

If the probability of drawing a red marble is 5/8, what happens to this probability after the marble is replaced?

• It increases to 3/8

• It remains 5/8

• It decreases to 1/8

• It becomes 1/2