Probabilities of A & B Occurrences in S

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Homework Help Overview

The problem involves calculating probabilities related to two events, A and B, within a sample space S, given their individual probabilities and the probability of their intersection. The original poster expresses confusion regarding the wording of the problem and the lack of similar examples from class.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the interpretation of the problem, particularly the phrasing around events occurring and not occurring. There is a suggestion to clarify the notation used for probabilities, such as P(A and not B).

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. Some guidance has been offered regarding the notation and how to express the probabilities needed, but no consensus has been reached on the correct approach to the problem.

Contextual Notes

The original poster notes a lack of prior examples in class that relate to this problem, which may contribute to their confusion. There is also a mention of specific terminology that may need clarification.

bethanyd
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Homework Statement


Suppose that A and B are two events of a sample space S such that P(A) = 0.7, P(B) = 0.6 and P(AinterceptB) = 0.4.
What are the probabilities of the following:
1. A occurs and B does now
2. Exactly one of the two events occurs
3. Neither event occurs.

I have tried this but the issue I am having is that I'm confused by the wording. We didn't really do anything like this in class, so I have no examples which coincide. Any help?

Thank you!
 
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P(A/B)= p(AnB)/P(B) which is the probability that B occurs given that A has already occurred
to find the Probabilities...write out the the probability that you have to find...e.g P(A or B occurring) etc...
 
Hey

Sorry, I meant, "A occurs but B does not"... Would that simply be P(A)?
 
If P(A) means the probability that A occurs then for A to occur and B not to occur

then you'd want P(AnB')
 

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