Each coefficient in the equation `a x^2+b x+c=0` is determined by throwing an ordinary six faced die. Find the probability that the equation will have real roots.

Explanation

To find the probability that the quadratic equation \( ax^2 + bx + c = 0 \) has real roots, we need to analyze the condition for real roots. The roots of the quadratic equation are real if the discriminant \( D \) is non-negative, which is given by:

\[ D = b^2 - 4ac \geq 0 \]

This implies:

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