MHB What are the formulas for solving sets A and B?

[nickar1172]

Which formula's would you use to solve each set and please show the actual formulas please thank you for the help I really appreciate it as I need to know this for my final exam tomorrow, thank you!

a) solving for neither set A and neither set B b) Solving for set A or Set B, but not bothc) Solving for set B given set Ad) Solving for set B given that he does not have Set A

 

[Jameson]

Hi again,

I probably need some more information. Are you simply asked to write these concepts mathematically, like $A \cap B$?

 

[nickar1172]

Hi again,

I probably need some more information. Are you simply asked to write these concepts mathematically, like $A \cap B$?

Yes that is exactly what I am talking about

 

[Jameson]

Yes that is exactly what I am talking about

Ok well we can use $A, A^c, B, B^c$ for referring to the sets and we can also use $\cup, \cap$. What do you get for the first one?

(by the way, $\cup$ means "or" and $\cap$ means "and")

 

[nickar1172]

If I new I wouldn't be asking the question...
Postulates for Probability - P(A) >= 0, P(S) = 1
Special Addition Rule (mutually exclusive) - If A ∩ B = ∅, then P(A ∪ B) = P(A) + P(B)
General Addition Rule - P(A ∪ B) = P(A) + P(B) – P(A ∩ B)
Probability and Odds (odds of A to B) - a / (a + b)
Conditional Probability - P(A | B) = P(A ∩ B) / P(B) provided that P(B) ≠ 0
General Multiplication Rule - P(A ∩ B) = P(A) . P(B | A)
Special Multiplication Rule(Independent events) - P(A ∩ B) = P(A) . P(B)
Multiplication Rules - if event B is independent of event A, then P(B | A) = P(A)

according to any of these rules how do you answer those question because I have NO IDEA how to

 

[Jameson]

I didn't ask you what the correct answer was, rather what you think it is. If I just give you the answer that isn't helping you very much. We try to help you learn the material so you can answer it yourself. :)

Ok, (a) is $A^c \cap B^c$. Put into words this is "not A and not B". For (b), what is "A or B" in symbolic language? What is "A and B"?

 

[nickar1172]

I know what and or means I just need to know how to solve those questions, at this point it is not about "understanding" anything I just need to put this down on a formula sheet these answers so when I see this on the exam I know what to plug in like a machine, the entire semester has passed and I still don't know and I don't want to understand I just want to get an 80 on my test tomorrow so I don't fail the class all I need is those answered in mathematical notation if you can help me than I greatly appreciate it if not than no problem