Tuesday, July 27, 2010

Conditional Probability

Conditional probability is the probability of some event A, given the occurrence of some other event B. When in a random experiment the event B is known to have occurred, the possible outcomes of the experiment are reduced to B, and hence the probability of the occurrence of A is changed from the unconditional probability into the conditional probability given B. The conditional probability fallacy is the assumption that P(A|B) is approximately equal to P(B|A).

There is also a concept of the conditional probability of an event given a discrete random variable. Such a conditional probability is a random variable in its own right.

Discrete probability distribution is a probability distribution characterized by a probability mass function. Among the most well-known discrete probability distributions that are used for statistical modeling are the Poisson Distribution, the Bernoulli distribution, the Binomial distribution, the geometric distribution, and the negative binomial distribution.

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