## Toppers Notes on Probability

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### Table of Content

• Experiment and random experiment.
• Sample space.
• Events, Simple events, Mixed event, Equally likely events.
• Exhaustive events, Mutually exclusive events, Independent events.
• The complement of an event.
• Mutually exclusive and exhaustive events.
• Probability of occurrence of an event.
• Odds in favor and odds against an event.
• Some important rules on probability.
• Conditional probability.
• Multiplication theorems on probability.
• Probability of at least one of the ‘n’ independent events.
• Law’s of total probability.
• Baye’s Rule.
• Random variable, Discrete random variable, Continuous random variable.
• Geometrical method of probability.
• Probability distribution.
• Bernoulli Trials.
• Binomial probability distribution.
• Mean and variance of the binomial distribution.
• Poission distribution.
• Normal distribution.
• Facts of normal distribution.