Probability of AᴧBᴧBᴧC equal zero why 1

  • Context: Undergrad 
  • Thread starter Thread starter Sadeq
  • Start date Start date
  • Tags Tags
    Probability Zero
Click For Summary

Discussion Overview

The discussion centers around the probability expression AᴧBᴧBᴧC and why it is considered equal to zero. Participants explore the implications of various operations involving probabilities and the interpretation of symbols used in the expression.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant questions why the probability of AᴧBᴧBᴧC is zero, suggesting that it should be zero due to the multiplication of terms.
  • Another participant seeks clarification on the meaning of the symbols used, particularly the meaning of E and the operations represented by the symbols.
  • There is confusion regarding the notation, with one participant noting that the AND symbol appears as a square on their device, leading to misunderstandings about the operations involved.
  • A participant mentions that the term AᴧEᴧC disappears from the answer, prompting further inquiry into why this occurs.
  • Another participant explains that AᴧEᴧC is subsumed by A & C, referencing a logical equivalence in probability expressions.
  • One participant requests a more detailed explanation of the logical equivalences presented, indicating a need for further clarification on the topic.

Areas of Agreement / Disagreement

Participants express varying levels of understanding regarding the notation and operations involved, with some agreeing on the logical equivalences while others seek further clarification. The discussion remains unresolved regarding the interpretation of the original expression and its implications.

Contextual Notes

There are limitations in the clarity of the symbols used, and some participants express confusion over the notation and operations, which may affect their understanding of the problem.

Sadeq
Messages
103
Reaction score
0
probability of AᴧBᴧBᴧC equal zero why!1

(B v AE)ᴧ( Ev C)
So after multiplication you should have
AᴧBᴧBᴧC
But he didnt mention this, so it should by zero ,but why!11
 
Physics news on Phys.org


Hey Sadeq.

What does the E refer to?
 


All the symbol are probability of events
 


Sadeq, several things need more explanation.
You have written AE with no symbol in between. What does this mean?
If A and B are probabilities, what does A v B mean? Surely they events, not the probabilities of the events?
On my device, the other symbol you use shows up as a square. Is this an AND symbol?
I don't understand the steps in your multiplication. What happened to E?
 


Im so sorry ,i was in hurry when i wrote this, so sorry
I upload the a picture for the problem ,when you look at the picture u will see, two yellow terms,which eventually will have to multiply them togethor,so all symbols will be in Intersection(4 symbols),
So my question why the answer is zero, since nothing come on the result from those terms
 

Attachments

  • ssss.PNG
    ssss.PNG
    15.7 KB · Views: 599


OK, I've read the attachment and it all makes sense, so long as the AND operation is defined as more binding than OR. So what is it you don't understand? What is it that appears to be zero?
 


AᴧEᴧC= disappear from answer
Why
 


Becausd it is subsumed by A & C. In general, X v (X & Y) = X.
 


could u please explain a little bit more please
im sorry i took a lot from your time
 
  • #10


In the expression X v (X & Y):
Suppose X is true. Then the whole expression is true.
Suppose X is false. Then both sides of the OR are false, so the expression is false.
Therefore the expression is equivalent to just X.
Likewise, X & (X v Y) reduces to X.
 
  • #11


More than thank you
U are the best
Thank you again
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 63 ·
3
Replies
63
Views
7K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 1 ·
Replies
1
Views
3K