Identifying Independent & Dependent Events Practice

Front

What is an independent event in probability?

Back

An independent event is an event whose outcome does not affect the outcome of another event. For example, flipping a coin and rolling a die are independent events.

Front

What is a dependent event in probability?

Back

A dependent event is an event whose outcome is affected by the outcome of another event. For example, drawing a card from a deck and not replacing it before drawing another card.

Front

If a red marble is drawn from a bag and not replaced, what type of event is drawing a second marble?

Back

Dependent event, because the outcome of the second draw is affected by the first draw.

Front

If a marble is drawn from a bag and then replaced before drawing again, what type of event is this?

Back

Independent event, because the outcome of the second draw is not affected by the first draw.

Front

What is the probability of drawing a blue marble after drawing a red marble without replacement?

Back

The probability is dependent on the number of marbles left in the bag after the first draw.

Front

What is the probability of drawing a blue marble after drawing a red marble with replacement?

Back

The probability remains the same as it was before the first draw, since the marble is replaced.

Front

In a spinner spun twice, what type of events are the outcomes of the two spins?

Back

Independent events, because the outcome of the first spin does not affect the outcome of the second spin.

Front

What is the definition of replacement in probability?

Back

Replacement means putting an item back into the sample space after it has been drawn, keeping the total number of items the same.

Front

What is the definition of non-replacement in probability?

Back

Non-replacement means not putting an item back into the sample space after it has been drawn, reducing the total number of items.

Front

If Amy picks a card and does not replace it, what type of event is picking a second card?

Back

Dependent event, because the first card affects the total number of cards available for the second pick.