Mutually exclusive stats homework

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Homework Help Overview

The discussion revolves around a statistics problem involving probabilities, specifically focusing on the concepts of independent and mutually exclusive events. The original poster presents a scenario with given probabilities and seeks to determine the probability of event B.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants explore the formulas related to independent and mutually exclusive events, with some attempting to apply these to find P(B). Questions arise regarding the application of these formulas and the confusion surrounding the calculation of P(B) alone.

Discussion Status

The discussion is ongoing, with participants providing different perspectives on how to approach the problem. Some guidance has been offered regarding the use of formulas, but there remains uncertainty about how to isolate P(B) in the context of the given probabilities.

Contextual Notes

Participants note confusion regarding the application of certain formulas and the conditions under which they can be used, particularly in relation to the independence and mutual exclusivity of events A and B.

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Homework Statement


Suppose that P(A) = 0.8 and P(A or B) = 0.9 , determine P(B) If
a) A and B are independent
b) A and B are mutually exclusive


Homework Equations


for Independence P(A and B) = P(A) x P(B)
for Mutually Exclusive P(A or B) = P(A) + P(B)


The Attempt at a Solution


for A) just by the formula i can say that P(A and B) = P(A) x P(B)
but i don't see still how i can find P(B), the P(A or B) part is really confusing to me.
 
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For not mutually exclusive, part (A), p(A or B)= P(A)+ P(B)- P(A and B). Put the values into both that AND P(A and B)= P(A)xP(B).
 
hm thanks, but how do you find out what P(B) alone is because i can't use that formula anyways.
 
You can't use WHAT formula? And why not?
 

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