How Do You Calculate Conditional Probability Using a Probability Tree?

AI Thread Summary
The discussion focuses on calculating conditional probability using a probability tree, specifically addressing a homework question involving two events A and B with given probabilities. The user initially struggles with finding P(A and B), P(B), and P(A | B) but successfully calculates P(A and B) as 3/20. Additionally, the user seeks recommendations for better probability textbooks, indicating dissatisfaction with their current resource. The conversation concludes with the user expressing gratitude after resolving their confusion.
hasnain721
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conditional probability help please

Homework Statement


Hi there,
I am doing s1 for this jan and i am finding it very difficult to cope up. Especially for probability. I have a cgp buk but stil its not very gud at probability. Here is a question from my text buk which i cud not understand : -




Two events A and B are such that P(A) = 3/4 , P(B l A) = 1/5 and P(B' l A') = 4/7. By use of a probability tree or other wise find :


a) P(A and B)

b) P(B)

c) P(A l B)



In addition, can some 1 suggest a gud buk for probability please.





Homework Equations





P(B l A) = P(A intersection B) / P(A)


The Attempt at a Solution



I got 'a' right by multiplying 3/4 by 1/5


Plz reply
Thanks
Hasnain Mir Mohammed
 
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i hav worked it out now...thanks.
 
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