I really need help with this question.
The coefficients $a,b,c$ of the quadratic equation $ax^2+bx+c=0$ are determined by throwing 3dice and reading off the value shown on the uppermost face of each die, so that the first die gives $a$, the second $b$ and and third $c$. Find the probabilities that the roots the equations are real, complex and equal.
I was thinking about using the fundamental formula but i'm not sure how to go about doing it. Help would be greatly appreciated.