In the game of bingo, each ball has a unique label. While playing, Reggie draws a ball, reads it aloud, and sets it aside. Then he draws another ball. Are these two events dependent or independent?

Answer 1

In the game of bingo, when Reggie draws a ball and then sets it aside before drawing another ball, the two events (drawing the first ball and then drawing the second ball) are dependent events. This is because the outcome of the second draw is affected by the first draw.

Once the first ball is drawn and set aside, the total number of balls remaining decreases, which changes the probabilities associated with the second draw. For example, if there were originally 75 balls and Reggie draws one, there are now only 74 balls left for the second draw. Therefore, the events are not independent; the result of the second draw depends on the result of the first draw.