Hint
The equation has at least a real root iff p - 4 q >= 0 . The asked probability is the quotient of two adequate areas in the pq plane.
Hi, if a quadratic equation is of the form:
x^2+sqrt(p)*x+q=0 where p can be any value in range [0,a] and q in the range [-b,b] then what is the probabillty that at least one root of the equation is real?
E.g:
if a = 4 and b = 2 ,then
probability is 0.625 and for a = 1 and b =2
probability = 0.53125
Thanks.