In a management trainee program, 80% of the trainees are female, 20% male. A total of 90% of the females attended college, while 78% of the males attended college. A management trainee is selected at random. What is the probability that the person selected is a female who did not attend college?

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Asked Nov 2, 2018
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In a management trainee program, 80% of the trainees are female, 20% male. A total of 90% of the females attended college, while 78% of the males attended college. A management trainee is selected at random. What is the probability that the person selected is a female who did not attend college?

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Expert Answer

Step 1

Here the probability of selecting a female is given by: 

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Step 2

Also given 90% of females attended the college. This implies 10% of the females did not attend the college.

Step 3

So the probability of a female not att...

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Probability

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