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Use the binomial theorem to expand the binomial.
Posterior Probability
is the probability of the hypotheses given the observed data, calculated using Bayes' theorem.
Prior Probability
The likelihood of an event occurring before new evidence is taken into account.
Conditional Probability
The estimated probability of an event's occurrence when it is already known that another event has preceded it.
Thomas Bayes
An 18th-century British statistician and clergyman known for formulating the Bayes' Theorem, which describes the probability of an event based on prior knowledge.
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