About This Cheat Sheet

Complete guide to Probability for competitive exams: basic definition (Probability = Favorable Outcomes / Total Outcomes), range of probability (0 to 1), types of events (certain, impossible, simple, compound, independent, dependent, mutually exclusive, exhaustive), addition theorem for mutually exclusive events (P(A or B) = P(A) + P(B)), addition theorem for not mutually exclusive events (P(A or B) = P(A) + P(B) – P(A∩B)), multiplication theorem for independent events (P(A and B) = P(A) × P(B)), conditional probability (P(A|B) = P(A∩B)/P(B)), problems on coins (probability of getting heads, tails, specific patterns), problems on dice (probability of getting specific numbers, sum, product), problems on cards (probability of drawing specific cards from a deck of 52 cards), problems on balls (probability of drawing balls from a bag), problems on playing cards (face cards, number cards, suits), probability of at least one event, probability of exactly one event, and shortcut tricks for SSC, Banking, Railway, UPSC, and other government exams.