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

Step-by-step explanation:

Dependent events are describe as events in which one affects the other, that is, if one event happen, the outcome of the other event changes, they affect each other.

So, among the options, drawing a blue marble and a yellow marble at the same time form a bag of marbles represents a dependent event, because if we draw one color, the number of marbles changes, and also does its probability, when the set of elements changes after a pick, those events become dependent.

On the other hand, we could say that drawing cards is a dependent event, however in this case, the sentence says that the card is put back to the deck, this way the number of cards stay the same, without altering the chances of other cards. If the drawn card is not back into the deck, then, that would be a dependent event.

is there any attachment? what are the equations?