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 finds 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 probability of getting a Bachelor of Science degree, given that a student is getting a Bachelor of Arts degree, is given by P(Science|Arts)=0.3. What is the probability that a student will get no degree?
Please show how you derived the result.
TOPIC:Events and probability.
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