Bayes theorem is a mathematical formula used to determine conditional probabilities of events. It was discovered by English statistician Thomas Bayes in 1763. The formula is P(A/B)= P(B/A)P(A)/P(B), where P(A/B) is the probability of event A occurring given that event B has occurred, P(B/A) is the probability of event B occurring given event A, P(A) is the probability of event A, and P(B) is the probability of event B. The document provides an outline of Bayes theorem and the total probability theorem.

1. BAYES THEOREM
AND FORMULA:
PRESENTED BY: ANILA HALEEM
SEMESTER: 4rth
DEPARTMENT: PHYSICS

2. OUTLINES:
● Total probability theorem
● Bayes theorem

3. Total probability theorem:
● The total probability rule breaks up probability calculations into distinct
parts
● It is used to find the probability of an event

4. Example:

5. Solution:

6. Bayes Theorem:
● In statistics and probability theory, the Bayes’ theorem is a mathematical
formula used to determine the conditional probability of events
● The theorem is named after English statistical, Thomas Bayes
● who discovered the formula in 1763

7. Formula for Bayes’ Theorem:
● P(A/B)= P(B/A)P(A)/P(B)
● P(A/B)- the probability of events A occurring, given events B has occurred
● P(A/B)- the probability of events B occurring, given events A has occurred
● P(A)- the probability of events A
● P(B)- the probability of events B

8. Example:

9. Solution: