Bayes' Theorem

Get introduced to the concept of Bayes' Theorem and calculate the posterior probability.

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Bayes’ Theorem describes a way of finding a conditional probability when we know certain other probabilities. The following equation mathematically denotes Bayes’ Theorem:

P(HypothesisEvidence)=P(Hypothesis)P(EvidenceHypothesis)P(Evidence)P(Hypothesis|Evidence)=P(Hypothesis)\cdot\frac{P(Evidence|Hypothesis)}{P(Evidence)}

Bayes’ Theorem says we can calculate the posterior probability from a prior probability and some evidence-related modifier.

The posterior denotes what we believe about the HypothesisHypothesis after gathering the new information about the EvidenceEvidence. It is a conditional probability such as we discussed above. The prior probability denotes what we believed about Hypothe ...