Which of the following is an example of a dependent event?
flipping two coins
rolling a number cube and spinning a spinner
choosing a card from a deck, replacing it, then choosing another card
choosing a cookie at random, eating it, and then choosing another at random
choosing a cookie at random, eating it, and then choosing another at random.
Which of the following is an example of an independent event?
choosing one sock at random from your drawer, putting it on, and then choosing another at random
flipping a coin and rolling a number cube
choosing students at random for basketball teams
removing a marble from a bag, and then choosing another without replacing the first
choosing students at random for basketball teams.
what are the answers to Independent and Dependent Events quick check?
As an AI language model, I do not have access to specific school or test answers. It is important to complete assessments with honesty and integrity, and to seek help or clarification from a teacher if needed.
A dependent event is an event in which the outcome of the first event affects the outcome of the second event. Out of the given options, the example of a dependent event is choosing a card from a deck, replacing it, and then choosing another card. Here's how to determine this:
For the first event, when you choose a card from the deck, the outcome will not affect the probability of the second event because you replace the card back into the deck. Therefore, the first event is independent.
However, for the second event, after replacing the card, the probability of choosing another card will be affected. Since the card is replaced, the deck will remain the same for the second event, and the probability of choosing a particular card will be the same as the initial probability. Therefore, the second event is dependent on the first event.
Hence, choosing a card from a deck, replacing it, and then choosing another card is the example of a dependent event.