Question

Oliver randomly draws a marble from a bag of colored marbles, and notes its color. He then draws another marble without replacing the first one.

In this experiment, the event of drawing the second marble is dependent on the event of drawing the first marble. What can be changed in this experiment so that these events become independent?
The first marble should be replaced in the bag before drawing the second marble.
A different-colored marble should be added to the bag before drawing the second marble.
It is not possible to make the second event independent of the first event.

Answer 1

The second marble should be drawn by looking into the bag.

Answer 2

hint: because he does not replace the marbles, the probabilities change

so, for the probabilities to be independent, he must make sure not to change the number/color of marbles each time he takes out a marble. how can he accomplish this?

Answer 3

by not doing a or b

Answer 4

good, he must replace the marble each time

so your answer is a