2. DRAWING BALLS FROM AN URN Two balls are drawn in succession without replacement from an urn containing 5 red balls and 6 blue balls. Let Z be the random variable representing the number of blue balls. Find the values of the random variable Z. Complete the table below.
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The possible values of the random variable Z are 0, 1, and 2. This is because when drawing two balls without replacement, it is possible to draw 0 blue balls, 1 blue ball, or 2 blue balls, but it is not possible to draw 3 or more blue balls.
z P(Z = z)
0 (6/11) * (5/10)
1 (6/11) * (5/10)
2 (6/11) * (4/10)
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