Two parabolas have equations y=x2+ax+b and y=x2+cx+d, where a, b, c, and d are integers (not necessarily different), each chosen independently by rolling a fair six-sided die. What is the probability that the parabolas have at least one point in common?
<spanclass=′latex−bold′>(A)</span> 21<spanclass=′latex−bold′>(B)</span> 3625<spanclass=′latex−bold′>(C)</span> 65<spanclass=′latex−bold′>(D)</span> 3631<spanclass=′latex−bold′>(E)</span> 1 conicsparabolaprobabilitysymmetryLaTeXAMC