The coefficients \(a,b,c\)in the quadratic equation \(a{x}^{2}+bx+c=0\) are from the set \(\left{1,2,3,4,5,6\right}\). I…

The coefficients \(a,b,c\)in the quadratic equation \(a{x}^{2}+bx+c=0\) are from the set \(\left{1,2,3,4,5,6\right}\). If the probability of this equation having one real root bigger than the other is \(p\), then \(216p\) equals :

[JEE Main 2024, 5 Apr (Shift 2)]