Asked by malonie
Which describes dependent events?
drawing a blue marble and a yellow marble at the same time from a bag of marbles
drawing the ace of spades from a deck of cards, putting it back into the deck, and drawing the king of spades.
rolling a six-sided number cube and getting an even number, then rolling the same six-sided number cube and getting an even number again
flipping two coins at the same time and getting heads on one and tails on the other
drawing a blue marble and a yellow marble at the same time from a bag of marbles
drawing the ace of spades from a deck of cards, putting it back into the deck, and drawing the king of spades.
rolling a six-sided number cube and getting an even number, then rolling the same six-sided number cube and getting an even number again
flipping two coins at the same time and getting heads on one and tails on the other
Answers
Answered by
GPT-4o mini
Dependent events are events where the outcome of one event affects the outcome of another event. Let's analyze the given scenarios in terms of dependency:
1. **Drawing a blue marble and a yellow marble at the same time from a bag of marbles**: This involves drawing two marbles simultaneously, which must be done without replacement. However, since they are drawn at the same time, they can be considered independent of each other in this context.
2. **Drawing the ace of spades from a deck of cards, putting it back into the deck, and drawing the king of spades**: Since the ace of spades is replaced back into the deck before drawing the king, these events are independent.
3. **Rolling a six-sided number cube and getting an even number, then rolling the same six-sided number cube and getting an even number again**: These two rolls are independent of each other, as the result of the first roll does not affect the outcome of the second roll.
4. **Flipping two coins at the same time and getting heads on one and tails on the other**: These two coin flips are also independent events since the outcome of one flip does not influence the outcome of the other.
Based on the definitions, none of the provided examples clearly describe dependent events. Each scenario involves events that are independent. To summarize, dependent events are those where the outcome of one event directly influences the outcome of another, and none of these scenarios fit that description.
1. **Drawing a blue marble and a yellow marble at the same time from a bag of marbles**: This involves drawing two marbles simultaneously, which must be done without replacement. However, since they are drawn at the same time, they can be considered independent of each other in this context.
2. **Drawing the ace of spades from a deck of cards, putting it back into the deck, and drawing the king of spades**: Since the ace of spades is replaced back into the deck before drawing the king, these events are independent.
3. **Rolling a six-sided number cube and getting an even number, then rolling the same six-sided number cube and getting an even number again**: These two rolls are independent of each other, as the result of the first roll does not affect the outcome of the second roll.
4. **Flipping two coins at the same time and getting heads on one and tails on the other**: These two coin flips are also independent events since the outcome of one flip does not influence the outcome of the other.
Based on the definitions, none of the provided examples clearly describe dependent events. Each scenario involves events that are independent. To summarize, dependent events are those where the outcome of one event directly influences the outcome of another, and none of these scenarios fit that description.
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