Solve the conditional probability question

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SUMMARY

The discussion centers on solving a conditional probability question, specifically part c of the problem. The correct solution for P(B|A') is established as 3/5. The participant expresses confusion regarding the validity of their second approach but ultimately confirms the accuracy of the solution provided. This highlights the importance of clarity in understanding conditional probabilities.

PREREQUISITES
  • Understanding of conditional probability concepts
  • Familiarity with notation such as P(B|A') and its interpretation
  • Basic mathematical skills for solving probability problems
  • Experience with probability theory fundamentals
NEXT STEPS
  • Study the principles of conditional probability in depth
  • Learn about Bayes' theorem and its applications
  • Practice solving various conditional probability problems
  • Explore advanced topics in probability theory, such as joint and marginal probabilities
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Students, educators, and professionals in mathematics or statistics who are looking to enhance their understanding of conditional probability and its applications in problem-solving.

chwala
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Homework Statement
see attached problem below;
Relevant Equations
conditional probability
My question is on part ##c## of the problem.
Kindly see attached question,...is the second approach correct?

1618539426068.png
 
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1618539570862.png


my attempt...why is the second approach wrong for question ##c##?or is it also correct?
 
1618547450802.png

i got a little mixed up, but that's the beauty of maths ...the correct solution is
## P(B/A^{'})##=##\frac {3}{5}##
 
i think its now clear...phew!
 

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