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Answer:
a. Negative discriminant: above
b. Positive discriminant: below
c. Discriminant is zero: on
Step-by-step explanation:
If the discriminant is negative, then there are no real zeros. We have an upward-facing parabola, then the vertex is located above the x-axis
If the discriminant is positive, then there are two different real zeros. We have an upward-facing parabola, then the vertex is located below the x-axis
If the discriminant is zero, then there is one zero. We have an upward-facing parabola, then the vertex is located on the x-axis
The probability of picking a black ball first is

, because there are 4 black balls and 1 white ball which is 5 balls in total. After picking the first ball, 4 balls remain - 3 black and 1 white, so the probability of picking a white ball is

.
So, the probability of picking a black ball first followed by a white ball is