The discussion revolves around the concepts of probability, specifically focusing on unions and complements in set theory. Participants are seeking clarification on the notation and meaning of expressions such as P(AB) and P(AB)c, as well as related definitions involving set operations.
The discussion is ongoing, with participants providing insights and seeking further clarification on the definitions and implications of the probability expressions. Some guidance has been offered regarding the interpretation of complements and unions, but no consensus has been reached.
Participants are working under the constraints of a homework assignment, which may limit the depth of exploration into the concepts. There is a focus on ensuring correct definitions and understanding of the notation used in probability.
Likely the probability of ##A\cap B##Mdhiggenz said:Homework Statement
Can you guys explain to me what the following mean.
We are working on probability and unions, and these came up on the homework and need to know what these mean in order to solve the problem.
Thanks
P(AB)
That's spelled complement. I would say that need another set of parentheses and I'm guessing it means the probability of ##(A\cap B)^c##P(AB)c
Where c is the compliment.
Also i want to make sure I have the following definitions correct.
P(A∪Bc)
Means all the sets not including B
Mdhiggenz said:Thanks for the response, wouldn't a set in A and in B still have B in it, so be irrelevant?
Mdhiggenz said:so when they say B complement, it simply means calculate everything except the section that is "pure" B. Such as include the ones that are neither A or B?