Question

which is a pair of dependent events? spinning a spinner one time and then spinning it a second time flipping a quarter and then flipping a nickel removing a marble from a bag, not putting it back, and then removing a second marble rolling a number cube and then choosing one letter from the alphabet

Answer 1

The pair of dependent events is removing a marble from a bag and then removing a second one without replacement, as the first event affects the probability of the second.

Step-by-step explanation:

The pair of events that represents dependent events is removing a marble from a bag, not putting it back, and then removing a second marble. This situation describes sampling without replacement, which means the outcome of the first event affects the probability of the second event.

Since the first marble removed changes the composition of the marbles remaining in the bag, the probability of drawing a marble of a certain color, for instance, differs on the second draw compared to the first.

Dependent events are contrasted with independent events, where the outcome of one event does not influence the probability of the subsequent event occurring.

An example of independent events would be rolling a number cube and then choosing one letter from the alphabet; the outcome of the die roll has no effect on the choice of a letter.