Question 33 (5 points) University degree requirements typically are different for Bachelor of Science degrees and Bachelor of Arts degrees. Some students get a Bachelor of Arts and Science degree, which requires meeting graduation criteria for both degrees. A student advisor needs to know the probability a newly admitted student is interested in such a program, so that the student can be properly advised. A study of previous years nds that the probability a student gets a Bachelor of Science degree is P(Science)=0.3 and the probability a student gets a Bachelor of Arts degree is P(Arts)=0.6. The study also shows that the probability a student gets no degree is P(no)=0.2. Some calculation shows that the probability of getting a Bachelor of Arts degree, given that a student is getting a Bachelor of Science degree, is given by P(Arts l Science)=0.24. The probability of a student meeting graduation criteria for both degrees, and therefore, getting a Bachelor of Arts and Science degree is E