Hello,
I have one problem with distinguishing the conditional probability from the intersection.
As an example I uploaded one problem in the jpg file.
I solved the problem, but it took me quite a while to figure it out.
My main problem here was:
The sentence: Only 30% of unsuccessful employees had passed.
How do I know that this sentence doesn't tell me that
The Probability of the intersection of unsuccessful employees and employees who passed the test is 30%
and that actually it means that
The Probability that an employee has passed, given that he or she is unsuccessful is 30%
I have one problem with distinguishing the conditional probability from the intersection.
As an example I uploaded one problem in the jpg file.
I solved the problem, but it took me quite a while to figure it out.
My main problem here was:
The sentence: Only 30% of unsuccessful employees had passed.
How do I know that this sentence doesn't tell me that
The Probability of the intersection of unsuccessful employees and employees who passed the test is 30%
and that actually it means that
The Probability that an employee has passed, given that he or she is unsuccessful is 30%
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