Problem 1199

Use this table to answer the question that follows.

 

Students who Studied
Yes No Total
Students who Earned an A on the Test Yes 6 1 7
No 24 3 27
Total 30 4 34

 

 

Are the events, earn an A and study, independent or dependent?  What is the probability of randomly selecting a student who did not earn an A given that the student studied?  Express the answer as a fraction in simplest form.

 

Solution:-

 

Because the probability of selecting a student who earned an A is not the same as the probability of selecting a student who earned an A given that they studied, the events are dependent.  The probability of randomly selecting a student who did not earn an A given that the student studied is

\frac{24}{30} = \frac{4}{5}

 

 

Leave a Reply