Communities

Writing
Writing
Codidact Meta
Codidact Meta
The Great Outdoors
The Great Outdoors
Photography & Video
Photography & Video
Scientific Speculation
Scientific Speculation
Cooking
Cooking
Electrical Engineering
Electrical Engineering
Judaism
Judaism
Languages & Linguistics
Languages & Linguistics
Software Development
Software Development
Mathematics
Mathematics
Christianity
Christianity
Code Golf
Code Golf
Music
Music
Physics
Physics
Linux Systems
Linux Systems
Power Users
Power Users
Tabletop RPGs
Tabletop RPGs
tag:snake search within a tag
answers:0 unanswered questions
user:xxxx search by author id
score:0.5 posts with 0.5+ score
"snake oil" exact phrase
votes:4 posts with 4+ votes
created:<1w created < 1 week ago
post_type:xxxx type of post
Search help
Notifications
Mark all as read See all your notifications »
Q&A

How can I visualize the Law of Total Probability with extra conditioning?

+0
−2

How can I pictorialized this Theorem 2.4.3? As you can see below, I edited a picture by drawing E inside B.. Is my edit correct? Can my edit be improved?

Theorem 2.4.3 (LOTP with extra conditioning). Let $A_{1}, \ldots, A_{n}$ be a partition of S. Provided that $P\left(A_{i} \cap E\right)>0$ for all $i$, we have $$ P(B \mid E)=\sum_{i=1}^{n} P\left(B \mid A_{i}, E\right) P\left(A_{i} \mid E\right) $$

Blitzstein, Introduction to Probability (2019 2 ed), Chapter 1, p 60.

Diagram

Bertsekas, Introduction to Probability (2008 2e), p 32, Fig. 1.14.

Why does this post require moderator attention?
You might want to add some details to your flag.
Why should this post be closed?

0 comment threads

0 answers

Sign up to answer this question »

This community is part of the Codidact network. We have other communities too — take a look!

You can also join us in chat!

Want to advertise this community? Use our templates!

Like what we're doing? Support us! Donate