Notes

Business Statistics And Analysis

The Most Important Questions

Antim Prahar

1 Baye’s Theorem,  Addition and Multiplication Laws

•Bayes’ Theorem:

•Bayes’ Theorem is a fundamental concept in probability theory that describes how to update the probability of a hypothesis based on new evidence or information. It is named after the Reverend Thomas Bayes, an 18th-century British statistician and theologian.

•Bayes’ Theorem is expressed mathematically as follows:

•\[ P(A|B) = \frac{P(B|A) \cdot P(A)}{P(B)} \]

•Where:

•– \( P(A|B) \) is the conditional probability of event \( A \) given event \( B \) has occurred.

•– \( P(B|A) \) is the conditional probability of event \( B \) given event \( A \) has occurred.

•– \( P(A) \) and \( P(B) \) are the probabilities of events \( A \) and \( B \) occurring, respectively.

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