P(B₁|A) = = N Ω 2 = UB₁. i=1 P(B₁|A)P(A) = P(A^ Bj) = P(A|B;)P(B;) P(A|B;)P(B;) P(A) P(B₁|A) P(A|B;)P(B₁) P(A|B₂)P(B₂)` =

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The proof in the attached image is given for Bayes theorem, however I am quite a bit confused so if able please explain the proof in more detail step by step, thank you in advance.

P(B₁A)=
N
n = UB₁.
i=1
=
P(A|B;)P(B₁)
P(AB;)P(B₁)
P(B₁|A)P(A) = P(A^ Bj) = P(A|B;)P(B;)
P(AB;)P(B₁)
P(A)
P(B₁|A) =
=
Transcribed Image Text:P(B₁A)= N n = UB₁. i=1 = P(A|B;)P(B₁) P(AB;)P(B₁) P(B₁|A)P(A) = P(A^ Bj) = P(A|B;)P(B;) P(AB;)P(B₁) P(A) P(B₁|A) = =
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