A bag has 4 blue and 5 red marbles. One marble is drawn and set aside, and then a second marble is drawn. Consider the probabilities of drawing a red marble and then drawing a second red marble. Which of the following statements are true about this situation?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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MULTIPLE CHOICE
Question 5
A bag has 4 blue and 5 red marbles. One marble is drawn and set aside, and then a second
marble is drawn. Consider the probabilities of drawing a red marble and then drawing a
second red marble.
Which of the following statements are true about this situation?
Select all that apply.
A
The events are independent because it does not matter in which order the two draw-
ings occur.
B
The outcome of the second draw depends on the outcome of the first draw.
C
The events are dependent but would be independent if the first marble were replaced.
D
The probability of drawing the second red marble is greater than the probability of
drawing the first red marble.
Transcribed Image Text:MULTIPLE CHOICE Question 5 A bag has 4 blue and 5 red marbles. One marble is drawn and set aside, and then a second marble is drawn. Consider the probabilities of drawing a red marble and then drawing a second red marble. Which of the following statements are true about this situation? Select all that apply. A The events are independent because it does not matter in which order the two draw- ings occur. B The outcome of the second draw depends on the outcome of the first draw. C The events are dependent but would be independent if the first marble were replaced. D The probability of drawing the second red marble is greater than the probability of drawing the first red marble.
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