Question: 56. Use random sampling to determine the probability that the quadratic equation ax+bx+c= 0 has only real roots, if each of its coefficients a,

56. Use random sampling to determine the probability that the quadratic equation

56. Use random sampling to determine the probability that the quadratic equation ax+bx+c= 0 has only real roots, if each of its coefficients a, b and c is randomly chosen from the interval (-1, 1]. Also justify your result analytically.

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