Jump to content
Sign in to follow this  
Bryn

a probability

Recommended Posts

No clearly not !

 

What is true is the following

 

P(A) = P(A | B)P(B) + P(A | B' ) P(B ') (wet of total likelyhood)

and where B' denotes the complement of B in Omega

 

Mandrake

Share this post


Link to post
Share on other sites

ive never seen that equation before, or maybe i have with different letters or something, or maybe i learnt it a while ago, but anyway;

 

like madrakeRoot said, clearly one does not equal another, it is mathematically impossible

Share this post


Link to post
Share on other sites
ive never seen that equation before' date=' or maybe i have with different letters or something, or maybe i learnt it a while ago, but anyway;

 

[/quote']

thats just the "theorem of total probability" which just states that

 

Let [math]E_1,E_2,...[/math] be a partition of [math]\Omega[/math] and let F be the proper subset of [math]\Omega[/math].

 

Then [math]P(F)=\sum_i{P(F|E_i)P(E_i)}[/math]

Share this post


Link to post
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now
Sign in to follow this  

×
×
  • Create New...

Important Information

We have placed cookies on your device to help make this website better. You can adjust your cookie settings, otherwise we'll assume you're okay to continue.