Explain the difference between a deductive and an inductive argument in Philosophy

A deductive argument is one such that if all the premises of the argument were to be believed, then the conclusion would be necessarily true; in other words it would be impossible for the premises to be true but the conclusion false. Two examples of this would be:
1) a) All men are mortal. b) Socrates is a man. c) Therefore Socrates is mortal2) a) All rectangles are round. b) A football pitch is a rectangle. c) Therefore a football pitch is round
Note that an argument can be deductive without being true (clearly 2 is false), but it is still deductive if the conclusion would have to follow IF the premises were true.
In contrast, an inductive argument is just one where the premises would lead to a greater probability of the conclusion being true, but without necessitating it. An example of this would be:
1) a) Every phone call I've received today has been from my sister b) Therefore the next phone call will be from my sister
We can see here that there is nothing to stop the conclusion turning out false; perhaps my brother calls me next instead. But the premise means that the conclusion I have drawn is at least more likely to be true than the alternative.