Understanding Event Independence and Dependence

What are independent events?

• Events where the occurrence of one event affects the probability of the other.

• Events where the occurrence of one event does not affect the probability of the other.

• Events that cannot happen at the same time.

• Events that are mutually exclusive.

Tags

CCSS.HSS.CP.A.5

What are dependent events?

• Events that have no impact on each other.

• Events that occur simultaneously.

• Events where the occurrence of one event affects the probability of the other.

• Events that are mutually exclusive.

Tags

CCSS.HSS.CP.A.5

If you draw a card from a deck and do not replace it, how does this impact the probability of drawing a second card?

• The probability remains the same.

• The probability increases.

• The probability decreases.

• The probability changes because the events are dependent.

Tags

CCSS.HSS.CP.A.5

If you draw a marble from a bag and replace it before drawing another, how does this impact the probability of drawing a second marble?

• The probability remains the same because the events are independent.

• The probability increases.

• The probability decreases.

• The probability changes because the events are dependent.

Tags

CCSS.HSS.CP.A.5

Which of the following is an example of independent events?

• Tossing a coin and rolling a die.

• Drawing two cards from a deck without replacement.

• Choosing two socks from a drawer without replacement.

• Picking two candies from a jar without replacement.

Tags

CCSS.HSS.CP.A.5

Which of the following is an example of dependent events?

• Rolling two dice.

• Drawing two cards from a deck with replacement.

• Picking two marbles from a bag without replacement.

• Flipping a coin twice.

Tags

CCSS.HSS.CP.A.5

How does replacement affect the probability of events?

• Replacement makes events dependent.

• Replacement makes events independent.

• Replacement has no effect on the probability.

• Replacement always increases the probability.

Tags

CCSS.HSS.CP.A.5

If you roll a die and then flip a coin, are these events independent or dependent?

• Independent, because the outcome of one does not affect the other.

• Dependent, because the outcome of one affects the other.

• Independent, because they are mutually exclusive.

• Dependent, because they happen at the same time.

Tags

CCSS.HSS.CP.A.5

If you pick a card from a deck, do not replace it, and then pick another card, are these events independent or dependent?

• Independent, because the outcome of one does not affect the other.

• Dependent, because the outcome of one affects the other.

• Independent, because they are mutually exclusive.

• Dependent, because they happen at the same time.

Tags

CCSS.HSS.CP.A.5

Which statement is true about the probability of dependent events?

• The probability of dependent events is always higher.

• The probability of dependent events is always lower.

• The probability of dependent events changes based on the outcome of previous events.

• The probability of dependent events remains constant.

Tags

CCSS.HSS.CP.A.5