Bayes Theorem - Proof and Meaning

Consider the following statements related to the nature of Bayes' theorem 1. Bayes' theorem is a formula for computation of a conditional probability. 2. Bayes' theorem modifies an assumed probability of an event in the light of a related event which is observed. Which of the statements given above is/are correct ?

State Binomial Theorem + proof + Pascal triangle

By Baye's theorem, which one of the following probabilities is calculated ?

Tensions Inequality and Statements OF Mean Value Theorem ( LMVT and RMVT)

Tensions Inequality || Statements OF Mean Value Theorems ( RMVT and LMVT )

Multiplication theorem, Baye's theorem, Binomial experiment, Probability Distribution

Multiplication theorem| Baye's theorem| Binomial experiment| Probability Distribution

Verify the conditions of Mean Value Theorem in the following. In each case, find a point in the interval as stated by the Mean Value Theorem : f(x)=x" on "[a,b]