In the California Community Colleges an undergraduate student survey was taken t

Question

In the California Community Colleges an undergraduate student survey was taken that compares the class of student to their opinion on whether or not they favor or oppose same sex marriages. The following data is of the survey taken by questioning 500 undergraduate students. If a student from the survey is selected at random, then find the probability that the student favors same sex marriages, given that the student is not a Senior? Select one: A. 223/500 B. 270/399 C. 223/399 D. 399/500 E. None of the above

Explanation / Answer

A=favours same sex marriage

B= student is not a senior which means he is freshmen or sophomere or junior

p(A/B)=p(A and B)/p(B) =prob that a student favours same sex marriage given that he is not senior

=> p(A an B) = (85+74+64)/500 =223/276

=> p(B)= (146+119+134)/500 = 399/500

p(A/B)=p(A and B)/p(B) = 223/399

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