A career in the field of information technology (IT) is one of the most sought these days. Most engineering college graduates land up in the IT industry. While, a job as a software engineer looks very lucrative at first glance, once you get into the industry, you realise that it is not just your technical skills that will keep you in the race.
Probability has gained a lot of importance and the mathematical theory of probability has become the basis for statistical applications in the areas of management, space technology and the like. Various business decisions in real life are made under situations when a decision maker is very uncertain as to what will happen after the decisions are made. The theory of probability is helpful in all such areas. In particular it enables a person to make 'educated guesses' on matters where either full facts are not known or there is uncertainty about the outcome.
Set theory is the mathematical theory of sets, which represent collections of abstract objects. It has a central role in modern mathematical theory, providing the basic language in which most of mathematics is expressed. In mathematics, a set can be thought of as any collection of distinct things considered as a whole. Although a simple idea, it is, nevertheless, one of the most important and fundamental concepts in modern mathematics.