Bayes' Theorem :

1. what the different between P( A l B ) and P( A l B^c ). Is there any relationship between this two formula. Explain and give some example please.

12. Extensions of Bayes' Theorem In Example 2, we used only the initial events of A and A . In Example 3, we used initial events of A, B, and C. If events B and C in Example 3 are combined and denoted as A , we can find P(AD) using the simpler format of Bayes' theorem given in Example 2. How would the resulting value of P(A D) in Example 3 be affected by using this simplified approach