an example of inductive reasoning:
a, b, c & d are observed to be true therefore a may be true.
(a is a reasonable explanation for b, c, & d being true).
p1: A large enough asteroid impact would create a very large crater and cause a severe impact winter that could drive the non-avian dinosaurs to extinction.
p2: We observe that there is a very large crater in the gulf of Mexico dating to very near the time of the extinction of the non-avian dinosaurs
c: Therefore it is possible that this impact could explain why the non-avian dinosaurs went extinct.
note: see that c is not necessarily the case, other events also coincide with the extinction of the non-avian dinosaurs.
remember: inductive reasoning is inherently uncertain. it only deals in degrees to which, given the premises, the conclusion is credible according to some theory of evidence.