BayesTheorem.md (549B)
1 # Bayes Threoem 2 3 L2 4 5 **Definition:** Bayes theroem is $P(A|B) = \frac{P(B|A)P(A)}{P(B)}$ 6 7 This can be derived by the conditional probability theroem. 8 9 Bayes theroem allows us to update the probability of some outcome given known information. 10 11 ## Intuition 12 13 The probability that I have cancer (A) given that I have some symptoms of cancer (B) is equal to the probability that I have symptoms of cancer (B) given that I have cancer (A) multiplied by the overall probability that I have cancer (A) divided by the probability that I have symptoms (B).