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 solve the problem, we need to find the probability that the quadratic equation \( ax^2 + bx + c = 0 \) has real roots. The condition for a quadratic equation to have real roots is given by the discriminant, which must be non-negative:

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

### Step-by-Step Solution:

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