Determine Dependence and Independence by Comparing Scenarios

This video tutorial explains the concepts of dependent and independent events in probability. It provides examples using dice, coins, and card drawing to illustrate how the occurrence of one event can or cannot affect the probability of another event. The tutorial emphasizes that events without replacement are dependent, while those with replacement are independent.

What defines two events as independent?

• Both events occur simultaneously.

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

• One event affects the probability of the other.

• Both events have the same probability.

If you roll a die and flip a coin, how are these events related?

• They are dependent because the die roll affects the coin flip.

• They are dependent because both are random events.

• They are independent because they occur at different times.

• They are independent because the die roll does not affect the coin flip.

What happens to the probability of drawing a queen if a jack is drawn and not replaced?

• The probability becomes zero.

• The probability decreases.

• The probability increases.

• The probability remains the same.

In a deck of cards, if a card is drawn and replaced, how does it affect the probability of drawing another specific card?

• The probability changes.

• The probability remains the same.

• The probability doubles.

• The probability becomes zero.

Which of the following scenarios would result in dependent events?

• Flipping two coins at the same time.

• Flipping a coin and rolling a die.

• Drawing a card from a deck and not replacing it.

• Rolling two dice simultaneously.