Solution Found!
Show that if A1, A2, and A3 are independent events, then
Chapter 3, Problem 114E(choose chapter or problem)
QUESTION:
Show that if ?A?1, ?A?2, and ?A?3 are independent events, then ?P?(?A?1 | ?A?2 ??A?3) 5 P?(A1?).
Questions & Answers
QUESTION:
Show that if ?A?1, ?A?2, and ?A?3 are independent events, then ?P?(?A?1 | ?A?2 ??A?3) 5 P?(A1?).
ANSWER:Answer : Step 1 of 2 : Given, A , A and A are independent events 1 2 3 The claim is to prove P( A /A A ) = P(A ) 1 2 3 1 Let, P(A 1A ) =2P(A ) P(A 1 2 P(A A ) = P(A ) P(A ) 1 3 1 3 P(A A ) = P(A ) P(A ) 2 3 2 3 P(A 1A A2) = P3A ) P(A )1P(A ) 2 3