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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