What is the difference between probiotics and prebiotics?

A probiotic is a live, naturally-occurring microorganism that functions internally to promote health and wellbeing. A prebiotic is « a non-digestible food ingredient (normally a carbohydrate) that beneficially affects the host (the baby) by selectively stimulating the growth and/or activity of a limited number of bacteria in the colon. In other word: the prebiotic could be the food of the probiotic.