Solution Found!
Let B be an event of a sample space S with P (B) > 0. For
Chapter , Problem 15(choose chapter or problem)
QUESTION:
Let B be an event of a sample space S with P (B) > 0. For a subset A of S, define Q(A) = P (A | B). By Theorem 3.1 we know that Q is a probability function. For E and F, events of S 4 P (FB) > 0 5 , show that Q(E | F ) = P (E | FB).
Questions & Answers
QUESTION:
Let B be an event of a sample space S with P (B) > 0. For a subset A of S, define Q(A) = P (A | B). By Theorem 3.1 we know that Q is a probability function. For E and F, events of S 4 P (FB) > 0 5 , show that Q(E | F ) = P (E | FB).
ANSWER:Step 1 of 2
Let be an event of a sample space with . For a subset of , a probability function is defined by .
Let and be any events of with .
To prove that