Question

Determine whether the pair of actions results in independent or dependent events. Serena picks one marble out of a bag. Then, after replacing the marble, she picks another marble.

A) Dependent; the 1st marble selection will affect the 2nd marble selection.
B) Independent; the 1st marble selection will not affect the 2nd marble selection.
C) Dependent; the 1st marble selection will not affect the 2nd marble selection.
D) Independent; the 1st marble selection will affect the 2nd marble selection.

Please help!

Answer 1

B) Independent; the 1st marble selection will not affect the 2nd marble selection.

Explanation:

These events are independent, because Serena replaced the marble which doesn't alter the total number of outcomes to determine the probability of picking another marble.

Therefore, the right asnwer is B.

Remember that independent events are defined as those which don't influence in each other probabilities.

Answer 2

B) Independent; the 1st marble selection will not affect the 2nd marble selection.

Explanation:

When finding the probability of events in mathematics, we have both independent and dependent events.

Independent events are events that occur when the results of selection of the first events does not affect the results or outcomes of the second events.

Dependent events are the opposite of Independent events. They are events that occur when the results or outcomes obtained from the second events is affected by the results or outcomes from the selection of the first events.

From the question, we can see that the first event is she picked one marble from the bag. The second event is she replaced the marble before picking another marble. By doing this, the total number of possible outcomes for the probabilities of both events remains the same and they are unaffected.

Therefore, we can say that the two events are Independent because the 1st marble selection will not affect the 2nd marble selection.