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2022 Math Prize for Girls Problems
2
2
Part of
2022 Math Prize for Girls Problems
Problems
(1)
Math Prize 2022 Problem 2
Source:
10/12/2022
Let
b
b
b
and
c
c
c
be random integers from the set
{
1
,
2
,
…
,
100
}
\{1, 2, \ldots, 100\}
{
1
,
2
,
…
,
100
}
, chosen uniformly and independently. What is the probability that the roots of the quadratic
x
2
+
b
x
+
c
x^2 + bx + c
x
2
+
b
x
+
c
are real?