which describes dependent events?\no drawing a blue marble and a yellow marble at the same time from a bag…
which describes dependent events?\no drawing a blue marble and a yellow marble at the same time from a bag of marbles\no drawing the ace of spades from a deck of cards, putting it back into the deck, and drawing the king of spades.\no 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\no flipping two coins at the same time and getting heads on one and tails on the other
Answer
Brief Explanations:
Dependent events are those where the outcome of the first event affects the outcome of the second event. In the first option, drawing two marbles at the same time is not a case - by - case dependent situation. In the second option, putting the card back makes the events independent as the deck is in its original state for the second draw. In the third option, rolling a die twice is an independent event as the first roll does not change the probabilities for the second roll. Flipping two coins at the same time is also an independent event. However, if we consider drawing marbles one after the other without replacement, the first draw affects the composition of marbles for the second draw. But among the given options, none of them are truly dependent in the strict sense as presented. But if we assume the first option was drawing marbles one after the other without replacement (mis - worded as "at the same time"), it would be a dependent event.
Answer:
None of the above (assuming the options are as presented without any unstated conditions like non - replacement in the first option)