Probability is a measure of the likelihood of events happening. The greater the proportion of times an event can happen the greater (or more likely) the probability. Events can be ordered by the ...

Sample space and events, probability measure and probability space, random variable as a measurable function, distribution function of a random variable, discrete and continuous-type random variable, ...

UPSC: Union Public Service Commission offers Mathematics as one of the Optional Subjects for the UPSC IAS Mains exams. The optional paper consists of 2 papers (Paper I and Paper II) of 250 marks each.