Understanding Independent and Dependent Events in Probability

What does it mean when two events are independent in probability?

• Both events must occur simultaneously

• The outcome of one event does not affect the outcome of the other

• Both events must have the same outcome

• The outcome of one event affects the outcome of the other

Tags

CCSS.HSS.CP.A.5

What formula is used to calculate the probability of two independent events occurring together?

• Probability of A times Probability of B

• Probability of A minus Probability of B

• Probability of A plus Probability of B

• Probability of A divided by Probability of B

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

What is the probability of rolling a 5 and getting heads when rolling a die and flipping a coin?

• 1/10

• 1/2

• 1/6

• 1/12

In the context of dependent events, what does 'without replacement' imply?

• The outcome of the first event does not affect the second event

• The outcome of the first event affects the second event

• The event is repeated under the same conditions

• All outcomes are equally likely

Tags

CCSS.HSS.CP.A.5

Why can't the multiplication rule for independent events be used directly for dependent events?

• Because the events are unrelated

• Because the events must occur simultaneously

• Because the outcomes are affected by previous events

• Because the outcomes are not affected by previous events

What is the probability of drawing a green marble followed by a blue marble from a box without replacement?

• 7/30

• 21/100

• 7/10

• 3/9

How does the probability of drawing a second green marble change after one green marble has already been drawn?

• Becomes zero

• Stays the same

• Decreases

• Increases

Tags

CCSS.HSS.CP.A.5

CCSS.HSS.CP.A.3

If events A and B are dependent, how do you calculate the probability of both occurring?

• Probability of A plus Probability of B

• Probability of A times Probability of B after A

• Probability of A minus Probability of B

• Probability of A divided by Probability of B

What is the probability of drawing two green marbles in succession without replacement?

• 7/10

• 3/9

• 6/9

• 7/15

What is the effect of drawing a marble on the probability of the next draw in a dependent event scenario?

• Changes the probability

• Increases the probability

• Decreases the probability

• No effect

Tags

CCSS.HSS.CP.A.5